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Finding the Fourth Proportional to 154,781.80, 232,172.70 and 75,908.20

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Solution

The fourth proportional to 154,781.80, 232,172.70 and 75,908.20 is: 113,862.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,781.80 : 232,172.70 = 75,908.20 : x
  2. Step 2: Convert to fraction form
    154,781.80/232,172.70 = 75,908.20/x
  3. Step 3: Cross multiply
    154,781.80x = 232,172.70 × 75,908.20
  4. Step 4: Simplify right side
    154,781.80x = 17,623,811,746.14
  5. Step 5: Solve for x
    x = 17,623,811,746.14/154,781.80
  6. Step 6: Final answer
    x = 113,862.30

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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.