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Finding the Fourth Proportional to 89,031, 122,863.14 and 48,748.50

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Solution

The fourth proportional to 89,031, 122,863.14 and 48,748.50 is: 67,273.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,031 : 122,863.14 = 48,748.50 : x
  2. Step 2: Convert to fraction form
    89,031/122,863.14 = 48,748.50/x
  3. Step 3: Cross multiply
    89,031x = 122,863.14 × 48,748.50
  4. Step 4: Simplify right side
    89,031x = 5,989,393,780.29
  5. Step 5: Solve for x
    x = 5,989,393,780.29/89,031
  6. Step 6: Final answer
    x = 67,273.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.