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Finding the Fourth Proportional to 109,871.76, 164,538.84 and 99,222.17

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Solution

The fourth proportional to 109,871.76, 164,538.84 and 99,222.17 is: 148,590.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,871.76 : 164,538.84 = 99,222.17 : x
  2. Step 2: Convert to fraction form
    109,871.76/164,538.84 = 99,222.17/x
  3. Step 3: Cross multiply
    109,871.76x = 164,538.84 × 99,222.17
  4. Step 4: Simplify right side
    109,871.76x = 16,325,900,303.47
  5. Step 5: Solve for x
    x = 16,325,900,303.47/109,871.76
  6. Step 6: Final answer
    x = 148,590.51

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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.