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Finding the Fourth Proportional to 138,643.07, 208,108.17 and 85,373.42

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Solution

The fourth proportional to 138,643.07, 208,108.17 and 85,373.42 is: 128,148.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,643.07 : 208,108.17 = 85,373.42 : x
  2. Step 2: Convert to fraction form
    138,643.07/208,108.17 = 85,373.42/x
  3. Step 3: Cross multiply
    138,643.07x = 208,108.17 × 85,373.42
  4. Step 4: Simplify right side
    138,643.07x = 17,766,905,162.30
  5. Step 5: Solve for x
    x = 17,766,905,162.30/138,643.07
  6. Step 6: Final answer
    x = 128,148.53

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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.