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Finding the Fourth Proportional to 159,079.92, 219,530.44 and 87,461.16

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Solution

The fourth proportional to 159,079.92, 219,530.44 and 87,461.16 is: 120,696.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,079.92 : 219,530.44 = 87,461.16 : x
  2. Step 2: Convert to fraction form
    159,079.92/219,530.44 = 87,461.16/x
  3. Step 3: Cross multiply
    159,079.92x = 219,530.44 × 87,461.16
  4. Step 4: Simplify right side
    159,079.92x = 19,200,386,937.71
  5. Step 5: Solve for x
    x = 19,200,386,937.71/159,079.92
  6. Step 6: Final answer
    x = 120,696.48

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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.