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Finding the Fourth Proportional to 158,884.17, 219,264 and 87,265.74

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Solution

The fourth proportional to 158,884.17, 219,264 and 87,265.74 is: 120,428.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,884.17 : 219,264 = 87,265.74 : x
  2. Step 2: Convert to fraction form
    158,884.17/219,264 = 87,265.74/x
  3. Step 3: Cross multiply
    158,884.17x = 219,264 × 87,265.74
  4. Step 4: Simplify right side
    158,884.17x = 19,134,235,215.36
  5. Step 5: Solve for x
    x = 19,134,235,215.36/158,884.17
  6. Step 6: Final answer
    x = 120,428.83

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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.