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Finding the Fourth Proportional to 138,723.10, 208,084.65 and 138,723.10

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Solution

The fourth proportional to 138,723.10, 208,084.65 and 138,723.10 is: 208,084.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,723.10 : 208,084.65 = 138,723.10 : x
  2. Step 2: Convert to fraction form
    138,723.10/208,084.65 = 138,723.10/x
  3. Step 3: Cross multiply
    138,723.10x = 208,084.65 × 138,723.10
  4. Step 4: Simplify right side
    138,723.10x = 28,866,147,710.42
  5. Step 5: Solve for x
    x = 28,866,147,710.42/138,723.10
  6. Step 6: Final answer
    x = 208,084.65

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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.