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Finding the Fourth Proportional to 91,957.20, 137,935.80 and 47,597.55

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Solution

The fourth proportional to 91,957.20, 137,935.80 and 47,597.55 is: 71,396.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,957.20 : 137,935.80 = 47,597.55 : x
  2. Step 2: Convert to fraction form
    91,957.20/137,935.80 = 47,597.55/x
  3. Step 3: Cross multiply
    91,957.20x = 137,935.80 × 47,597.55
  4. Step 4: Simplify right side
    91,957.20x = 6,565,406,137.29
  5. Step 5: Solve for x
    x = 6,565,406,137.29/91,957.20
  6. Step 6: Final answer
    x = 71,396.33

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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.