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Finding the Fourth Proportional to 85,715.29, 128,581.38 and 29,548.01

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Solution

The fourth proportional to 85,715.29, 128,581.38 and 29,548.01 is: 44,324.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,715.29 : 128,581.38 = 29,548.01 : x
  2. Step 2: Convert to fraction form
    85,715.29/128,581.38 = 29,548.01/x
  3. Step 3: Cross multiply
    85,715.29x = 128,581.38 × 29,548.01
  4. Step 4: Simplify right side
    85,715.29x = 3,799,323,259.15
  5. Step 5: Solve for x
    x = 3,799,323,259.15/85,715.29
  6. Step 6: Final answer
    x = 44,324.92

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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.