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Finding the Fourth Proportional to 159,046.74, 219,484.74 and 87,427.20

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Solution

The fourth proportional to 159,046.74, 219,484.74 and 87,427.20 is: 120,649.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,046.74 : 219,484.74 = 87,427.20 : x
  2. Step 2: Convert to fraction form
    159,046.74/219,484.74 = 87,427.20/x
  3. Step 3: Cross multiply
    159,046.74x = 219,484.74 × 87,427.20
  4. Step 4: Simplify right side
    159,046.74x = 19,188,935,685.47
  5. Step 5: Solve for x
    x = 19,188,935,685.47/159,046.74
  6. Step 6: Final answer
    x = 120,649.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.