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Finding the Fourth Proportional to 115,423.28, 159,284.28 and 65,126.96

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Solution

The fourth proportional to 115,423.28, 159,284.28 and 65,126.96 is: 89,875.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,423.28 : 159,284.28 = 65,126.96 : x
  2. Step 2: Convert to fraction form
    115,423.28/159,284.28 = 65,126.96/x
  3. Step 3: Cross multiply
    115,423.28x = 159,284.28 × 65,126.96
  4. Step 4: Simplify right side
    115,423.28x = 10,373,700,932.19
  5. Step 5: Solve for x
    x = 10,373,700,932.19/115,423.28
  6. Step 6: Final answer
    x = 89,875.29

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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.