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Finding the Fourth Proportional to 138,997.66, 208,508.74 and 39,158.68

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Solution

The fourth proportional to 138,997.66, 208,508.74 and 39,158.68 is: 58,741.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,997.66 : 208,508.74 = 39,158.68 : x
  2. Step 2: Convert to fraction form
    138,997.66/208,508.74 = 39,158.68/x
  3. Step 3: Cross multiply
    138,997.66x = 208,508.74 × 39,158.68
  4. Step 4: Simplify right side
    138,997.66x = 8,164,927,026.86
  5. Step 5: Solve for x
    x = 8,164,927,026.86/138,997.66
  6. Step 6: Final answer
    x = 58,741.47

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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.