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Finding the Fourth Proportional to 157,649.42, 217,560.78 and 86,034.05

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Solution

The fourth proportional to 157,649.42, 217,560.78 and 86,034.05 is: 118,729.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,649.42 : 217,560.78 = 86,034.05 : x
  2. Step 2: Convert to fraction form
    157,649.42/217,560.78 = 86,034.05/x
  3. Step 3: Cross multiply
    157,649.42x = 217,560.78 × 86,034.05
  4. Step 4: Simplify right side
    157,649.42x = 18,717,633,936.76
  5. Step 5: Solve for x
    x = 18,717,633,936.76/157,649.42
  6. Step 6: Final answer
    x = 118,729.49

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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.