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Finding the Fourth Proportional to 137,666.16, 206,204.40 and 67,399.20

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Solution

The fourth proportional to 137,666.16, 206,204.40 and 67,399.20 is: 100,954.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,666.16 : 206,204.40 = 67,399.20 : x
  2. Step 2: Convert to fraction form
    137,666.16/206,204.40 = 67,399.20/x
  3. Step 3: Cross multiply
    137,666.16x = 206,204.40 × 67,399.20
  4. Step 4: Simplify right side
    137,666.16x = 13,898,011,596.48
  5. Step 5: Solve for x
    x = 13,898,011,596.48/137,666.16
  6. Step 6: Final answer
    x = 100,954.45

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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.