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Finding the Fourth Proportional to 160,139.32, 239,859.06 and 81,117.88

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Solution

The fourth proportional to 160,139.32, 239,859.06 and 81,117.88 is: 121,499.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,139.32 : 239,859.06 = 81,117.88 : x
  2. Step 2: Convert to fraction form
    160,139.32/239,859.06 = 81,117.88/x
  3. Step 3: Cross multiply
    160,139.32x = 239,859.06 × 81,117.88
  4. Step 4: Simplify right side
    160,139.32x = 19,456,858,445.99
  5. Step 5: Solve for x
    x = 19,456,858,445.99/160,139.32
  6. Step 6: Final answer
    x = 121,499.57

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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.