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Finding the Fourth Proportional to 65,458.50, 90,332.76 and 35,650.50

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Solution

The fourth proportional to 65,458.50, 90,332.76 and 35,650.50 is: 49,197.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,458.50 : 90,332.76 = 35,650.50 : x
  2. Step 2: Convert to fraction form
    65,458.50/90,332.76 = 35,650.50/x
  3. Step 3: Cross multiply
    65,458.50x = 90,332.76 × 35,650.50
  4. Step 4: Simplify right side
    65,458.50x = 3,220,408,060.38
  5. Step 5: Solve for x
    x = 3,220,408,060.38/65,458.50
  6. Step 6: Final answer
    x = 49,197.71

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1.5x scale

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.