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Finding the Fourth Proportional to 113,515.92, 156,644.64 and 65,765.52

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Solution

The fourth proportional to 113,515.92, 156,644.64 and 65,765.52 is: 90,752.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,515.92 : 156,644.64 = 65,765.52 : x
  2. Step 2: Convert to fraction form
    113,515.92/156,644.64 = 65,765.52/x
  3. Step 3: Cross multiply
    113,515.92x = 156,644.64 × 65,765.52
  4. Step 4: Simplify right side
    113,515.92x = 10,301,816,204.81
  5. Step 5: Solve for x
    x = 10,301,816,204.81/113,515.92
  6. Step 6: Final answer
    x = 90,752.17

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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.