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Finding the Fourth Proportional to 256,020.68, 383,984.86 and 68,988.52

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Solution

The fourth proportional to 256,020.68, 383,984.86 and 68,988.52 is: 103,470.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,020.68 : 383,984.86 = 68,988.52 : x
  2. Step 2: Convert to fraction form
    256,020.68/383,984.86 = 68,988.52/x
  3. Step 3: Cross multiply
    256,020.68x = 383,984.86 × 68,988.52
  4. Step 4: Simplify right side
    256,020.68x = 26,490,547,193.81
  5. Step 5: Solve for x
    x = 26,490,547,193.81/256,020.68
  6. Step 6: Final answer
    x = 103,470.34

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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.