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Finding the Fourth Proportional to 65,934.86, 90,989.72 and 35,720.77

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Solution

The fourth proportional to 65,934.86, 90,989.72 and 35,720.77 is: 49,294.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,934.86 : 90,989.72 = 35,720.77 : x
  2. Step 2: Convert to fraction form
    65,934.86/90,989.72 = 35,720.77/x
  3. Step 3: Cross multiply
    65,934.86x = 90,989.72 × 35,720.77
  4. Step 4: Simplify right side
    65,934.86x = 3,250,222,405.54
  5. Step 5: Solve for x
    x = 3,250,222,405.54/65,934.86
  6. Step 6: Final answer
    x = 49,294.45

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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.