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Finding the Fourth Proportional to 154,098, 212,655.24 and 83,442

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Solution

The fourth proportional to 154,098, 212,655.24 and 83,442 is: 115,149.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,098 : 212,655.24 = 83,442 : x
  2. Step 2: Convert to fraction form
    154,098/212,655.24 = 83,442/x
  3. Step 3: Cross multiply
    154,098x = 212,655.24 × 83,442
  4. Step 4: Simplify right side
    154,098x = 17,744,378,536.08
  5. Step 5: Solve for x
    x = 17,744,378,536.08/154,098
  6. Step 6: Final answer
    x = 115,149.96

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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.