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Finding the Fourth Proportional to 138,068.70, 206,811.45 and 114,740.70

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Solution

The fourth proportional to 138,068.70, 206,811.45 and 114,740.70 is: 171,868.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,068.70 : 206,811.45 = 114,740.70 : x
  2. Step 2: Convert to fraction form
    138,068.70/206,811.45 = 114,740.70/x
  3. Step 3: Cross multiply
    138,068.70x = 206,811.45 × 114,740.70
  4. Step 4: Simplify right side
    138,068.70x = 23,729,690,541.02
  5. Step 5: Solve for x
    x = 23,729,690,541.02/138,068.70
  6. Step 6: Final answer
    x = 171,868.72

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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.