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Finding the Fourth Proportional to 65,266.40, 89,981.92 and 47,101.92

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Solution

The fourth proportional to 65,266.40, 89,981.92 and 47,101.92 is: 64,938.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,266.40 : 89,981.92 = 47,101.92 : x
  2. Step 2: Convert to fraction form
    65,266.40/89,981.92 = 47,101.92/x
  3. Step 3: Cross multiply
    65,266.40x = 89,981.92 × 47,101.92
  4. Step 4: Simplify right side
    65,266.40x = 4,238,321,197.29
  5. Step 5: Solve for x
    x = 4,238,321,197.29/65,266.40
  6. Step 6: Final answer
    x = 64,938.79

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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.