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Finding the Fourth Proportional to 85,129.32, 127,673.43 and 37,718.20

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Solution

The fourth proportional to 85,129.32, 127,673.43 and 37,718.20 is: 56,568.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,129.32 : 127,673.43 = 37,718.20 : x
  2. Step 2: Convert to fraction form
    85,129.32/127,673.43 = 37,718.20/x
  3. Step 3: Cross multiply
    85,129.32x = 127,673.43 × 37,718.20
  4. Step 4: Simplify right side
    85,129.32x = 4,815,611,967.43
  5. Step 5: Solve for x
    x = 4,815,611,967.43/85,129.32
  6. Step 6: Final answer
    x = 56,568.19

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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.