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Finding the Fourth Proportional to 154,821.20, 213,669.96 and 87,746

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Solution

The fourth proportional to 154,821.20, 213,669.96 and 87,746 is: 121,098.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,821.20 : 213,669.96 = 87,746 : x
  2. Step 2: Convert to fraction form
    154,821.20/213,669.96 = 87,746/x
  3. Step 3: Cross multiply
    154,821.20x = 213,669.96 × 87,746
  4. Step 4: Simplify right side
    154,821.20x = 18,748,684,310.16
  5. Step 5: Solve for x
    x = 18,748,684,310.16/154,821.20
  6. Step 6: Final answer
    x = 121,098.95

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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.