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Finding the Fourth Proportional to 138,435.96, 207,702.10 and 43,680.76

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Solution

The fourth proportional to 138,435.96, 207,702.10 and 43,680.76 is: 65,536.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,435.96 : 207,702.10 = 43,680.76 : x
  2. Step 2: Convert to fraction form
    138,435.96/207,702.10 = 43,680.76/x
  3. Step 3: Cross multiply
    138,435.96x = 207,702.10 × 43,680.76
  4. Step 4: Simplify right side
    138,435.96x = 9,072,585,581.60
  5. Step 5: Solve for x
    x = 9,072,585,581.60/138,435.96
  6. Step 6: Final answer
    x = 65,536.34

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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.