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Finding the Fourth Proportional to 154,952.68, 213,824.10 and 86,961.64

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Solution

The fourth proportional to 154,952.68, 213,824.10 and 86,961.64 is: 120,001.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,952.68 : 213,824.10 = 86,961.64 : x
  2. Step 2: Convert to fraction form
    154,952.68/213,824.10 = 86,961.64/x
  3. Step 3: Cross multiply
    154,952.68x = 213,824.10 × 86,961.64
  4. Step 4: Simplify right side
    154,952.68x = 18,594,494,407.52
  5. Step 5: Solve for x
    x = 18,594,494,407.52/154,952.68
  6. Step 6: Final answer
    x = 120,001.12

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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.