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Finding the Fourth Proportional to 85,686.30, 128,565.90 and 41,290.20

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Solution

The fourth proportional to 85,686.30, 128,565.90 and 41,290.20 is: 61,952.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,686.30 : 128,565.90 = 41,290.20 : x
  2. Step 2: Convert to fraction form
    85,686.30/128,565.90 = 41,290.20/x
  3. Step 3: Cross multiply
    85,686.30x = 128,565.90 × 41,290.20
  4. Step 4: Simplify right side
    85,686.30x = 5,308,511,724.18
  5. Step 5: Solve for x
    x = 5,308,511,724.18/85,686.30
  6. Step 6: Final answer
    x = 61,952.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.