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Finding the Fourth Proportional to 157,598.42, 217,481.52 and 85,978.43

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Solution

The fourth proportional to 157,598.42, 217,481.52 and 85,978.43 is: 118,647.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,598.42 : 217,481.52 = 85,978.43 : x
  2. Step 2: Convert to fraction form
    157,598.42/217,481.52 = 85,978.43/x
  3. Step 3: Cross multiply
    157,598.42x = 217,481.52 × 85,978.43
  4. Step 4: Simplify right side
    157,598.42x = 18,698,719,643.61
  5. Step 5: Solve for x
    x = 18,698,719,643.61/157,598.42
  6. Step 6: Final answer
    x = 118,647.89

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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.