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Finding the Fourth Proportional to 65,350, 90,184.92 and 35,543.92

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Solution

The fourth proportional to 65,350, 90,184.92 and 35,543.92 is: 49,051.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,350 : 90,184.92 = 35,543.92 : x
  2. Step 2: Convert to fraction form
    65,350/90,184.92 = 35,543.92/x
  3. Step 3: Cross multiply
    65,350x = 90,184.92 × 35,543.92
  4. Step 4: Simplify right side
    65,350x = 3,205,525,581.69
  5. Step 5: Solve for x
    x = 3,205,525,581.69/65,350
  6. Step 6: Final answer
    x = 49,051.65

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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.