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Finding the Fourth Proportional to 65,119.29, 97,646.52 and 20,740.29

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Solution

The fourth proportional to 65,119.29, 97,646.52 and 20,740.29 is: 31,100.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,119.29 : 97,646.52 = 20,740.29 : x
  2. Step 2: Convert to fraction form
    65,119.29/97,646.52 = 20,740.29/x
  3. Step 3: Cross multiply
    65,119.29x = 97,646.52 × 20,740.29
  4. Step 4: Simplify right side
    65,119.29x = 2,025,217,142.29
  5. Step 5: Solve for x
    x = 2,025,217,142.29/65,119.29
  6. Step 6: Final answer
    x = 31,100.11

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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.