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Finding the Fourth Proportional to 121,098.48, 181,385.16 and 58,638

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Solution

The fourth proportional to 121,098.48, 181,385.16 and 58,638 is: 87,829.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,098.48 : 181,385.16 = 58,638 : x
  2. Step 2: Convert to fraction form
    121,098.48/181,385.16 = 58,638/x
  3. Step 3: Cross multiply
    121,098.48x = 181,385.16 × 58,638
  4. Step 4: Simplify right side
    121,098.48x = 10,636,063,012.08
  5. Step 5: Solve for x
    x = 10,636,063,012.08/121,098.48
  6. Step 6: Final answer
    x = 87,829.86

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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.