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Finding the Fourth Proportional to 121,582.80, 182,287.80 and 55,054.80

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Solution

The fourth proportional to 121,582.80, 182,287.80 and 55,054.80 is: 82,543.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,582.80 : 182,287.80 = 55,054.80 : x
  2. Step 2: Convert to fraction form
    121,582.80/182,287.80 = 55,054.80/x
  3. Step 3: Cross multiply
    121,582.80x = 182,287.80 × 55,054.80
  4. Step 4: Simplify right side
    121,582.80x = 10,035,818,371.44
  5. Step 5: Solve for x
    x = 10,035,818,371.44/121,582.80
  6. Step 6: Final answer
    x = 82,543.08

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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.