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Finding the Fourth Proportional to 157,978.27, 218,010.45 and 94,314.70

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Solution

The fourth proportional to 157,978.27, 218,010.45 and 94,314.70 is: 130,154.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,978.27 : 218,010.45 = 94,314.70 : x
  2. Step 2: Convert to fraction form
    157,978.27/218,010.45 = 94,314.70/x
  3. Step 3: Cross multiply
    157,978.27x = 218,010.45 × 94,314.70
  4. Step 4: Simplify right side
    157,978.27x = 20,561,590,188.62
  5. Step 5: Solve for x
    x = 20,561,590,188.62/157,978.27
  6. Step 6: Final answer
    x = 130,154.55

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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.