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Finding the Fourth Proportional to 158,474.76, 218,696.88 and 86,853.24

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Solution

The fourth proportional to 158,474.76, 218,696.88 and 86,853.24 is: 119,858.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,474.76 : 218,696.88 = 86,853.24 : x
  2. Step 2: Convert to fraction form
    158,474.76/218,696.88 = 86,853.24/x
  3. Step 3: Cross multiply
    158,474.76x = 218,696.88 × 86,853.24
  4. Step 4: Simplify right side
    158,474.76x = 18,994,532,605.89
  5. Step 5: Solve for x
    x = 18,994,532,605.89/158,474.76
  6. Step 6: Final answer
    x = 119,858.41

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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.