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Finding the Fourth Proportional to 65,833.20, 90,820.80 and 41,954.40

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Solution

The fourth proportional to 65,833.20, 90,820.80 and 41,954.40 is: 57,878.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,833.20 : 90,820.80 = 41,954.40 : x
  2. Step 2: Convert to fraction form
    65,833.20/90,820.80 = 41,954.40/x
  3. Step 3: Cross multiply
    65,833.20x = 90,820.80 × 41,954.40
  4. Step 4: Simplify right side
    65,833.20x = 3,810,332,171.52
  5. Step 5: Solve for x
    x = 3,810,332,171.52/65,833.20
  6. Step 6: Final answer
    x = 57,878.58

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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.