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Finding the Fourth Proportional to 256,621.86, 384,908.02 and 79,081.20

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Solution

The fourth proportional to 256,621.86, 384,908.02 and 79,081.20 is: 118,614.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,621.86 : 384,908.02 = 79,081.20 : x
  2. Step 2: Convert to fraction form
    256,621.86/384,908.02 = 79,081.20/x
  3. Step 3: Cross multiply
    256,621.86x = 384,908.02 × 79,081.20
  4. Step 4: Simplify right side
    256,621.86x = 30,438,988,111.22
  5. Step 5: Solve for x
    x = 30,438,988,111.22/256,621.86
  6. Step 6: Final answer
    x = 118,614.17

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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.