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Finding the Fourth Proportional to 65,650.50, 90,597.69 and 35,842.50

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Solution

The fourth proportional to 65,650.50, 90,597.69 and 35,842.50 is: 49,462.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,650.50 : 90,597.69 = 35,842.50 : x
  2. Step 2: Convert to fraction form
    65,650.50/90,597.69 = 35,842.50/x
  3. Step 3: Cross multiply
    65,650.50x = 90,597.69 × 35,842.50
  4. Step 4: Simplify right side
    65,650.50x = 3,247,247,703.83
  5. Step 5: Solve for x
    x = 3,247,247,703.83/65,650.50
  6. Step 6: Final answer
    x = 49,462.65

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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.