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Finding the Fourth Proportional to 81,106.32, 121,659.48 and 25,698

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Solution

The fourth proportional to 81,106.32, 121,659.48 and 25,698 is: 38,547.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,106.32 : 121,659.48 = 25,698 : x
  2. Step 2: Convert to fraction form
    81,106.32/121,659.48 = 25,698/x
  3. Step 3: Cross multiply
    81,106.32x = 121,659.48 × 25,698
  4. Step 4: Simplify right side
    81,106.32x = 3,126,405,317.04
  5. Step 5: Solve for x
    x = 3,126,405,317.04/81,106.32
  6. Step 6: Final answer
    x = 38,547.00

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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.