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Finding the Fourth Proportional to 86,727.64, 130,109.84 and 30,565.48

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Solution

The fourth proportional to 86,727.64, 130,109.84 and 30,565.48 is: 45,854.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,727.64 : 130,109.84 = 30,565.48 : x
  2. Step 2: Convert to fraction form
    86,727.64/130,109.84 = 30,565.48/x
  3. Step 3: Cross multiply
    86,727.64x = 130,109.84 × 30,565.48
  4. Step 4: Simplify right side
    86,727.64x = 3,976,869,712.32
  5. Step 5: Solve for x
    x = 3,976,869,712.32/86,727.64
  6. Step 6: Final answer
    x = 45,854.70

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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.