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Finding the Fourth Proportional to 157,842.48, 217,819.88 and 86,220.66

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Solution

The fourth proportional to 157,842.48, 217,819.88 and 86,220.66 is: 118,983.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,842.48 : 217,819.88 = 86,220.66 : x
  2. Step 2: Convert to fraction form
    157,842.48/217,819.88 = 86,220.66/x
  3. Step 3: Cross multiply
    157,842.48x = 217,819.88 × 86,220.66
  4. Step 4: Simplify right side
    157,842.48x = 18,780,573,814.72
  5. Step 5: Solve for x
    x = 18,780,573,814.72/157,842.48
  6. Step 6: Final answer
    x = 118,983.01

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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.