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Finding the Fourth Proportional to 65,642.44, 90,428.52 and 52,209.40

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Solution

The fourth proportional to 65,642.44, 90,428.52 and 52,209.40 is: 71,923.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,642.44 : 90,428.52 = 52,209.40 : x
  2. Step 2: Convert to fraction form
    65,642.44/90,428.52 = 52,209.40/x
  3. Step 3: Cross multiply
    65,642.44x = 90,428.52 × 52,209.40
  4. Step 4: Simplify right side
    65,642.44x = 4,721,218,772.09
  5. Step 5: Solve for x
    x = 4,721,218,772.09/65,642.44
  6. Step 6: Final answer
    x = 71,923.27

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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.