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Finding the Fourth Proportional to 94,642.40, 141,963.60 and 71,022.80

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Solution

The fourth proportional to 94,642.40, 141,963.60 and 71,022.80 is: 106,534.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,642.40 : 141,963.60 = 71,022.80 : x
  2. Step 2: Convert to fraction form
    94,642.40/141,963.60 = 71,022.80/x
  3. Step 3: Cross multiply
    94,642.40x = 141,963.60 × 71,022.80
  4. Step 4: Simplify right side
    94,642.40x = 10,082,652,370.08
  5. Step 5: Solve for x
    x = 10,082,652,370.08/94,642.40
  6. Step 6: Final answer
    x = 106,534.20

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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.