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Finding the Fourth Proportional to 158,314.76, 218,474.48 and 86,694.80

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Solution

The fourth proportional to 158,314.76, 218,474.48 and 86,694.80 is: 119,638.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,314.76 : 218,474.48 = 86,694.80 : x
  2. Step 2: Convert to fraction form
    158,314.76/218,474.48 = 86,694.80/x
  3. Step 3: Cross multiply
    158,314.76x = 218,474.48 × 86,694.80
  4. Step 4: Simplify right side
    158,314.76x = 18,940,602,111.63
  5. Step 5: Solve for x
    x = 18,940,602,111.63/158,314.76
  6. Step 6: Final answer
    x = 119,638.89

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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.