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Finding the Fourth Proportional to 255,034.57, 382,573.27 and 77,543.12

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Solution

The fourth proportional to 255,034.57, 382,573.27 and 77,543.12 is: 116,321.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,034.57 : 382,573.27 = 77,543.12 : x
  2. Step 2: Convert to fraction form
    255,034.57/382,573.27 = 77,543.12/x
  3. Step 3: Cross multiply
    255,034.57x = 382,573.27 × 77,543.12
  4. Step 4: Simplify right side
    255,034.57x = 29,665,923,071.54
  5. Step 5: Solve for x
    x = 29,665,923,071.54/255,034.57
  6. Step 6: Final answer
    x = 116,321.18

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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.