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Finding the Fourth Proportional to 65,678.86, 90,601.80 and 40,197.57

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Solution

The fourth proportional to 65,678.86, 90,601.80 and 40,197.57 is: 55,451.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,678.86 : 90,601.80 = 40,197.57 : x
  2. Step 2: Convert to fraction form
    65,678.86/90,601.80 = 40,197.57/x
  3. Step 3: Cross multiply
    65,678.86x = 90,601.80 × 40,197.57
  4. Step 4: Simplify right side
    65,678.86x = 3,641,971,996.64
  5. Step 5: Solve for x
    x = 3,641,971,996.64/65,678.86
  6. Step 6: Final answer
    x = 55,451.21

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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.