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Finding the Fourth Proportional to 65,903.90, 90,947.63 and 35,689.23

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Solution

The fourth proportional to 65,903.90, 90,947.63 and 35,689.23 is: 49,251.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,903.90 : 90,947.63 = 35,689.23 : x
  2. Step 2: Convert to fraction form
    65,903.90/90,947.63 = 35,689.23/x
  3. Step 3: Cross multiply
    65,903.90x = 90,947.63 × 35,689.23
  4. Step 4: Simplify right side
    65,903.90x = 3,245,850,706.58
  5. Step 5: Solve for x
    x = 3,245,850,706.58/65,903.90
  6. Step 6: Final answer
    x = 49,251.27

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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.