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Finding the Fourth Proportional to 255,014.91, 382,508.52 and 77,508.08

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Solution

The fourth proportional to 255,014.91, 382,508.52 and 77,508.08 is: 116,257.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,014.91 : 382,508.52 = 77,508.08 : x
  2. Step 2: Convert to fraction form
    255,014.91/382,508.52 = 77,508.08/x
  3. Step 3: Cross multiply
    255,014.91x = 382,508.52 × 77,508.08
  4. Step 4: Simplify right side
    255,014.91x = 29,647,500,490.71
  5. Step 5: Solve for x
    x = 29,647,500,490.71/255,014.91
  6. Step 6: Final answer
    x = 116,257.91

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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.