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Finding the Fourth Proportional to 86,565.84, 119,447.64 and 54,778.20

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Solution

The fourth proportional to 86,565.84, 119,447.64 and 54,778.20 is: 75,585.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,565.84 : 119,447.64 = 54,778.20 : x
  2. Step 2: Convert to fraction form
    86,565.84/119,447.64 = 54,778.20/x
  3. Step 3: Cross multiply
    86,565.84x = 119,447.64 × 54,778.20
  4. Step 4: Simplify right side
    86,565.84x = 6,543,126,713.45
  5. Step 5: Solve for x
    x = 6,543,126,713.45/86,565.84
  6. Step 6: Final answer
    x = 75,585.55

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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.