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Finding the Fourth Proportional to 243,079.20, 364,616.40 and 76,867.20

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Solution

The fourth proportional to 243,079.20, 364,616.40 and 76,867.20 is: 115,300.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,079.20 : 364,616.40 = 76,867.20 : x
  2. Step 2: Convert to fraction form
    243,079.20/364,616.40 = 76,867.20/x
  3. Step 3: Cross multiply
    243,079.20x = 364,616.40 × 76,867.20
  4. Step 4: Simplify right side
    243,079.20x = 28,027,041,742.08
  5. Step 5: Solve for x
    x = 28,027,041,742.08/243,079.20
  6. Step 6: Final answer
    x = 115,300.04

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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.