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Finding the Fourth Proportional to 218,959.92, 302,158.68 and 123,465.84

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Solution

The fourth proportional to 218,959.92, 302,158.68 and 123,465.84 is: 170,379.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,959.92 : 302,158.68 = 123,465.84 : x
  2. Step 2: Convert to fraction form
    218,959.92/302,158.68 = 123,465.84/x
  3. Step 3: Cross multiply
    218,959.92x = 302,158.68 × 123,465.84
  4. Step 4: Simplify right side
    218,959.92x = 37,306,275,239.49
  5. Step 5: Solve for x
    x = 37,306,275,239.49/218,959.92
  6. Step 6: Final answer
    x = 170,379.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.