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Finding the Fourth Proportional to 157,842.60, 217,828.08 and 86,229.29

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Solution

The fourth proportional to 157,842.60, 217,828.08 and 86,229.29 is: 118,999.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,842.60 : 217,828.08 = 86,229.29 : x
  2. Step 2: Convert to fraction form
    157,842.60/217,828.08 = 86,229.29/x
  3. Step 3: Cross multiply
    157,842.60x = 217,828.08 × 86,229.29
  4. Step 4: Simplify right side
    157,842.60x = 18,783,159,591.32
  5. Step 5: Solve for x
    x = 18,783,159,591.32/157,842.60
  6. Step 6: Final answer
    x = 118,999.30

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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.