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Finding the Fourth Proportional to 153,886.40, 231,002.40 and 83,729.60

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Solution

The fourth proportional to 153,886.40, 231,002.40 and 83,729.60 is: 125,688.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,886.40 : 231,002.40 = 83,729.60 : x
  2. Step 2: Convert to fraction form
    153,886.40/231,002.40 = 83,729.60/x
  3. Step 3: Cross multiply
    153,886.40x = 231,002.40 × 83,729.60
  4. Step 4: Simplify right side
    153,886.40x = 19,341,738,551.04
  5. Step 5: Solve for x
    x = 19,341,738,551.04/153,886.40
  6. Step 6: Final answer
    x = 125,688.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.