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Finding the Fourth Proportional to 137,126.40, 205,718.40 and 42,348.80

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Solution

The fourth proportional to 137,126.40, 205,718.40 and 42,348.80 is: 63,532.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,126.40 : 205,718.40 = 42,348.80 : x
  2. Step 2: Convert to fraction form
    137,126.40/205,718.40 = 42,348.80/x
  3. Step 3: Cross multiply
    137,126.40x = 205,718.40 × 42,348.80
  4. Step 4: Simplify right side
    137,126.40x = 8,711,927,377.92
  5. Step 5: Solve for x
    x = 8,711,927,377.92/137,126.40
  6. Step 6: Final answer
    x = 63,532.09

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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.