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Finding the Fourth Proportional to 255,508.71, 383,264.48 and 65,956.13

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Solution

The fourth proportional to 255,508.71, 383,264.48 and 65,956.13 is: 98,934.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,508.71 : 383,264.48 = 65,956.13 : x
  2. Step 2: Convert to fraction form
    255,508.71/383,264.48 = 65,956.13/x
  3. Step 3: Cross multiply
    255,508.71x = 383,264.48 × 65,956.13
  4. Step 4: Simplify right side
    255,508.71x = 25,278,641,867.26
  5. Step 5: Solve for x
    x = 25,278,641,867.26/255,508.71
  6. Step 6: Final answer
    x = 98,934.56

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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.