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Finding the Fourth Proportional to 137,878.40, 206,817.76 and 43,109.08

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Solution

The fourth proportional to 137,878.40, 206,817.76 and 43,109.08 is: 64,663.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,878.40 : 206,817.76 = 43,109.08 : x
  2. Step 2: Convert to fraction form
    137,878.40/206,817.76 = 43,109.08/x
  3. Step 3: Cross multiply
    137,878.40x = 206,817.76 × 43,109.08
  4. Step 4: Simplify right side
    137,878.40x = 8,915,722,655.61
  5. Step 5: Solve for x
    x = 8,915,722,655.61/137,878.40
  6. Step 6: Final answer
    x = 64,663.66

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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.