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Finding the Fourth Proportional to 138,459.52, 207,703.86 and 68,271.40

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Solution

The fourth proportional to 138,459.52, 207,703.86 and 68,271.40 is: 102,414.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,459.52 : 207,703.86 = 68,271.40 : x
  2. Step 2: Convert to fraction form
    138,459.52/207,703.86 = 68,271.40/x
  3. Step 3: Cross multiply
    138,459.52x = 207,703.86 × 68,271.40
  4. Step 4: Simplify right side
    138,459.52x = 14,180,233,307.60
  5. Step 5: Solve for x
    x = 14,180,233,307.60/138,459.52
  6. Step 6: Final answer
    x = 102,414.29

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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.