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Finding the Fourth Proportional to 138,638.16, 207,784.62 and 67,502.34

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Solution

The fourth proportional to 138,638.16, 207,784.62 and 67,502.34 is: 101,169.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,638.16 : 207,784.62 = 67,502.34 : x
  2. Step 2: Convert to fraction form
    138,638.16/207,784.62 = 67,502.34/x
  3. Step 3: Cross multiply
    138,638.16x = 207,784.62 × 67,502.34
  4. Step 4: Simplify right side
    138,638.16x = 14,025,948,066.01
  5. Step 5: Solve for x
    x = 14,025,948,066.01/138,638.16
  6. Step 6: Final answer
    x = 101,169.46

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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.