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Finding the Fourth Proportional to 165,384.64, 247,931.24 and 65,614.88

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Solution

The fourth proportional to 165,384.64, 247,931.24 and 65,614.88 is: 98,364.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,384.64 : 247,931.24 = 65,614.88 : x
  2. Step 2: Convert to fraction form
    165,384.64/247,931.24 = 65,614.88/x
  3. Step 3: Cross multiply
    165,384.64x = 247,931.24 × 65,614.88
  4. Step 4: Simplify right side
    165,384.64x = 16,267,978,560.85
  5. Step 5: Solve for x
    x = 16,267,978,560.85/165,384.64
  6. Step 6: Final answer
    x = 98,364.51

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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.