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Finding the Fourth Proportional to 103,458.80, 142,747.96 and 63,157.88

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Solution

The fourth proportional to 103,458.80, 142,747.96 and 63,157.88 is: 87,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,458.80 : 142,747.96 = 63,157.88 : x
  2. Step 2: Convert to fraction form
    103,458.80/142,747.96 = 63,157.88/x
  3. Step 3: Cross multiply
    103,458.80x = 142,747.96 × 63,157.88
  4. Step 4: Simplify right side
    103,458.80x = 9,015,658,527.92
  5. Step 5: Solve for x
    x = 9,015,658,527.92/103,458.80
  6. Step 6: Final answer
    x = 87,142.50

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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.