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Finding the Fourth Proportional to 154,109.60, 231,165.12 and 65,340.80

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Solution

The fourth proportional to 154,109.60, 231,165.12 and 65,340.80 is: 98,011.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,109.60 : 231,165.12 = 65,340.80 : x
  2. Step 2: Convert to fraction form
    154,109.60/231,165.12 = 65,340.80/x
  3. Step 3: Cross multiply
    154,109.60x = 231,165.12 × 65,340.80
  4. Step 4: Simplify right side
    154,109.60x = 15,104,513,872.90
  5. Step 5: Solve for x
    x = 15,104,513,872.90/154,109.60
  6. Step 6: Final answer
    x = 98,011.51

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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.