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Finding the Fourth Proportional to 235,478.06, 353,229.30 and 77,718.81

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Solution

The fourth proportional to 235,478.06, 353,229.30 and 77,718.81 is: 116,582.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,478.06 : 353,229.30 = 77,718.81 : x
  2. Step 2: Convert to fraction form
    235,478.06/353,229.30 = 77,718.81/x
  3. Step 3: Cross multiply
    235,478.06x = 353,229.30 × 77,718.81
  4. Step 4: Simplify right side
    235,478.06x = 27,452,560,853.13
  5. Step 5: Solve for x
    x = 27,452,560,853.13/235,478.06
  6. Step 6: Final answer
    x = 116,582.24

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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.