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Finding the Fourth Proportional to 158,460.71, 218,677.46 and 86,839.16

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Solution

The fourth proportional to 158,460.71, 218,677.46 and 86,839.16 is: 119,838.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,460.71 : 218,677.46 = 86,839.16 : x
  2. Step 2: Convert to fraction form
    158,460.71/218,677.46 = 86,839.16/x
  3. Step 3: Cross multiply
    158,460.71x = 218,677.46 × 86,839.16
  4. Step 4: Simplify right side
    158,460.71x = 18,989,765,409.75
  5. Step 5: Solve for x
    x = 18,989,765,409.75/158,460.71
  6. Step 6: Final answer
    x = 119,838.96

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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.