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Finding the Fourth Proportional to 109,091,644.70, 163,212,978.38 and 99,931,262.63

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Solution

The fourth proportional to 109,091,644.70, 163,212,978.38 and 99,931,262.63 is: 149,508,049.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,091,644.70 : 163,212,978.38 = 99,931,262.63 : x
  2. Step 2: Convert to fraction form
    109,091,644.70/163,212,978.38 = 99,931,262.63/x
  3. Step 3: Cross multiply
    109,091,644.70x = 163,212,978.38 × 99,931,262.63
  4. Step 4: Simplify right side
    109,091,644.70x = 16,310,079,005,800,570
  5. Step 5: Solve for x
    x = 16,310,079,005,800,570/109,091,644.70
  6. Step 6: Final answer
    x = 149,508,049.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.