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Finding the Fourth Proportional to 137,419.16, 206,148.31 and 42,657.53

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Solution

The fourth proportional to 137,419.16, 206,148.31 and 42,657.53 is: 63,992.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,419.16 : 206,148.31 = 42,657.53 : x
  2. Step 2: Convert to fraction form
    137,419.16/206,148.31 = 42,657.53/x
  3. Step 3: Cross multiply
    137,419.16x = 206,148.31 × 42,657.53
  4. Step 4: Simplify right side
    137,419.16x = 8,793,776,580.89
  5. Step 5: Solve for x
    x = 8,793,776,580.89/137,419.16
  6. Step 6: Final answer
    x = 63,992.36

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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.