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Finding the Fourth Proportional to 159,406.71, 219,972.48 and 87,772.74

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Solution

The fourth proportional to 159,406.71, 219,972.48 and 87,772.74 is: 121,121.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,406.71 : 219,972.48 = 87,772.74 : x
  2. Step 2: Convert to fraction form
    159,406.71/219,972.48 = 87,772.74/x
  3. Step 3: Cross multiply
    159,406.71x = 219,972.48 × 87,772.74
  4. Step 4: Simplify right side
    159,406.71x = 19,307,587,294.20
  5. Step 5: Solve for x
    x = 19,307,587,294.20/159,406.71
  6. Step 6: Final answer
    x = 121,121.55

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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.