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Finding the Fourth Proportional to 138,153.80, 207,242.40 and 38,313.98

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Solution

The fourth proportional to 138,153.80, 207,242.40 and 38,313.98 is: 57,474.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,153.80 : 207,242.40 = 38,313.98 : x
  2. Step 2: Convert to fraction form
    138,153.80/207,242.40 = 38,313.98/x
  3. Step 3: Cross multiply
    138,153.80x = 207,242.40 × 38,313.98
  4. Step 4: Simplify right side
    138,153.80x = 7,940,281,168.75
  5. Step 5: Solve for x
    x = 7,940,281,168.75/138,153.80
  6. Step 6: Final answer
    x = 57,474.21

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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.