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Finding the Fourth Proportional to 138,156.80, 207,271.64 and 58,201.88

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Solution

The fourth proportional to 138,156.80, 207,271.64 and 58,201.88 is: 87,318.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,156.80 : 207,271.64 = 58,201.88 : x
  2. Step 2: Convert to fraction form
    138,156.80/207,271.64 = 58,201.88/x
  3. Step 3: Cross multiply
    138,156.80x = 207,271.64 × 58,201.88
  4. Step 4: Simplify right side
    138,156.80x = 12,063,599,118.68
  5. Step 5: Solve for x
    x = 12,063,599,118.68/138,156.80
  6. Step 6: Final answer
    x = 87,318.17

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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.