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Finding the Fourth Proportional to 102,565.20, 153,847.80 and 55,909.20

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Solution

The fourth proportional to 102,565.20, 153,847.80 and 55,909.20 is: 83,863.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,565.20 : 153,847.80 = 55,909.20 : x
  2. Step 2: Convert to fraction form
    102,565.20/153,847.80 = 55,909.20/x
  3. Step 3: Cross multiply
    102,565.20x = 153,847.80 × 55,909.20
  4. Step 4: Simplify right side
    102,565.20x = 8,601,507,419.76
  5. Step 5: Solve for x
    x = 8,601,507,419.76/102,565.20
  6. Step 6: Final answer
    x = 83,863.80

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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.