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Finding the Fourth Proportional to 121,924.65, 182,722.95 and 86,823.30

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Solution

The fourth proportional to 121,924.65, 182,722.95 and 86,823.30 is: 130,118.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,924.65 : 182,722.95 = 86,823.30 : x
  2. Step 2: Convert to fraction form
    121,924.65/182,722.95 = 86,823.30/x
  3. Step 3: Cross multiply
    121,924.65x = 182,722.95 × 86,823.30
  4. Step 4: Simplify right side
    121,924.65x = 15,864,609,504.74
  5. Step 5: Solve for x
    x = 15,864,609,504.74/121,924.65
  6. Step 6: Final answer
    x = 130,118.15

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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.