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Finding the Fourth Proportional to 102,854.80, 154,251.96 and 43,690

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Solution

The fourth proportional to 102,854.80, 154,251.96 and 43,690 is: 65,522.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,854.80 : 154,251.96 = 43,690 : x
  2. Step 2: Convert to fraction form
    102,854.80/154,251.96 = 43,690/x
  3. Step 3: Cross multiply
    102,854.80x = 154,251.96 × 43,690
  4. Step 4: Simplify right side
    102,854.80x = 6,739,268,132.40
  5. Step 5: Solve for x
    x = 6,739,268,132.40/102,854.80
  6. Step 6: Final answer
    x = 65,522.15

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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.