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Finding the Fourth Proportional to 137,988.72, 207,245.70 and 85,763.16

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Solution

The fourth proportional to 137,988.72, 207,245.70 and 85,763.16 is: 128,807.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,988.72 : 207,245.70 = 85,763.16 : x
  2. Step 2: Convert to fraction form
    137,988.72/207,245.70 = 85,763.16/x
  3. Step 3: Cross multiply
    137,988.72x = 207,245.70 × 85,763.16
  4. Step 4: Simplify right side
    137,988.72x = 17,774,046,128.41
  5. Step 5: Solve for x
    x = 17,774,046,128.41/137,988.72
  6. Step 6: Final answer
    x = 128,807.96

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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.