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Finding the Fourth Proportional to 137,197.34, 205,645.89 and 70,641.47

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Solution

The fourth proportional to 137,197.34, 205,645.89 and 70,641.47 is: 105,884.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,197.34 : 205,645.89 = 70,641.47 : x
  2. Step 2: Convert to fraction form
    137,197.34/205,645.89 = 70,641.47/x
  3. Step 3: Cross multiply
    137,197.34x = 205,645.89 × 70,641.47
  4. Step 4: Simplify right side
    137,197.34x = 14,527,127,193.96
  5. Step 5: Solve for x
    x = 14,527,127,193.96/137,197.34
  6. Step 6: Final answer
    x = 105,884.90

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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.