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Finding the Fourth Proportional to 255,360.27, 383,102.45 and 77,870.43

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Solution

The fourth proportional to 255,360.27, 383,102.45 and 77,870.43 is: 116,824.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,360.27 : 383,102.45 = 77,870.43 : x
  2. Step 2: Convert to fraction form
    255,360.27/383,102.45 = 77,870.43/x
  3. Step 3: Cross multiply
    255,360.27x = 383,102.45 × 77,870.43
  4. Step 4: Simplify right side
    255,360.27x = 29,832,352,126.20
  5. Step 5: Solve for x
    x = 29,832,352,126.20/255,360.27
  6. Step 6: Final answer
    x = 116,824.56

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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.