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Finding the Fourth Proportional to 153,729, 212,146.03 and 86,661

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Solution

The fourth proportional to 153,729, 212,146.03 and 86,661 is: 119,592.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,729 : 212,146.03 = 86,661 : x
  2. Step 2: Convert to fraction form
    153,729/212,146.03 = 86,661/x
  3. Step 3: Cross multiply
    153,729x = 212,146.03 × 86,661
  4. Step 4: Simplify right side
    153,729x = 18,384,786,672.53
  5. Step 5: Solve for x
    x = 18,384,786,672.53/153,729
  6. Step 6: Final answer
    x = 119,592.18

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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.