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Finding the Fourth Proportional to 137,073.61, 205,615.79 and 42,295.35

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Solution

The fourth proportional to 137,073.61, 205,615.79 and 42,295.35 is: 63,444.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,073.61 : 205,615.79 = 42,295.35 : x
  2. Step 2: Convert to fraction form
    137,073.61/205,615.79 = 42,295.35/x
  3. Step 3: Cross multiply
    137,073.61x = 205,615.79 × 42,295.35
  4. Step 4: Simplify right side
    137,073.61x = 8,696,591,803.58
  5. Step 5: Solve for x
    x = 8,696,591,803.58/137,073.61
  6. Step 6: Final answer
    x = 63,444.68

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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.