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Finding the Fourth Proportional to 138,506.40, 207,770.40 and 59,623.20

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Solution

The fourth proportional to 138,506.40, 207,770.40 and 59,623.20 is: 89,439.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,506.40 : 207,770.40 = 59,623.20 : x
  2. Step 2: Convert to fraction form
    138,506.40/207,770.40 = 59,623.20/x
  3. Step 3: Cross multiply
    138,506.40x = 207,770.40 × 59,623.20
  4. Step 4: Simplify right side
    138,506.40x = 12,387,936,113.28
  5. Step 5: Solve for x
    x = 12,387,936,113.28/138,506.40
  6. Step 6: Final answer
    x = 89,439.45

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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.