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Finding the Fourth Proportional to 65,903.76, 90,947.40 and 35,689.20

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Solution

The fourth proportional to 65,903.76, 90,947.40 and 35,689.20 is: 49,251.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,903.76 : 90,947.40 = 35,689.20 : x
  2. Step 2: Convert to fraction form
    65,903.76/90,947.40 = 35,689.20/x
  3. Step 3: Cross multiply
    65,903.76x = 90,947.40 × 35,689.20
  4. Step 4: Simplify right side
    65,903.76x = 3,245,839,948.08
  5. Step 5: Solve for x
    x = 3,245,839,948.08/65,903.76
  6. Step 6: Final answer
    x = 49,251.21

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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.