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Finding the Fourth Proportional to 256,678.65, 385,044.39 and 96,889.19

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Solution

The fourth proportional to 256,678.65, 385,044.39 and 96,889.19 is: 145,343.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,678.65 : 385,044.39 = 96,889.19 : x
  2. Step 2: Convert to fraction form
    256,678.65/385,044.39 = 96,889.19/x
  3. Step 3: Cross multiply
    256,678.65x = 385,044.39 × 96,889.19
  4. Step 4: Simplify right side
    256,678.65x = 37,306,637,135.92
  5. Step 5: Solve for x
    x = 37,306,637,135.92/256,678.65
  6. Step 6: Final answer
    x = 145,343.75

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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.