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Finding the Fourth Proportional to 103,448.56, 142,765.12 and 77,909.88

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Solution

The fourth proportional to 103,448.56, 142,765.12 and 77,909.88 is: 107,520.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,448.56 : 142,765.12 = 77,909.88 : x
  2. Step 2: Convert to fraction form
    103,448.56/142,765.12 = 77,909.88/x
  3. Step 3: Cross multiply
    103,448.56x = 142,765.12 × 77,909.88
  4. Step 4: Simplify right side
    103,448.56x = 11,122,813,367.39
  5. Step 5: Solve for x
    x = 11,122,813,367.39/103,448.56
  6. Step 6: Final answer
    x = 107,520.23

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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.