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Finding the Fourth Proportional to 121,315.10, 182,009.10 and 86,323.10

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Solution

The fourth proportional to 121,315.10, 182,009.10 and 86,323.10 is: 129,510.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,315.10 : 182,009.10 = 86,323.10 : x
  2. Step 2: Convert to fraction form
    121,315.10/182,009.10 = 86,323.10/x
  3. Step 3: Cross multiply
    121,315.10x = 182,009.10 × 86,323.10
  4. Step 4: Simplify right side
    121,315.10x = 15,711,589,740.21
  5. Step 5: Solve for x
    x = 15,711,589,740.21/121,315.10
  6. Step 6: Final answer
    x = 129,510.59

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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.