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Finding the Fourth Proportional to 254,895.26, 382,318.11 and 77,403.80

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Solution

The fourth proportional to 254,895.26, 382,318.11 and 77,403.80 is: 116,098.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,895.26 : 382,318.11 = 77,403.80 : x
  2. Step 2: Convert to fraction form
    254,895.26/382,318.11 = 77,403.80/x
  3. Step 3: Cross multiply
    254,895.26x = 382,318.11 × 77,403.80
  4. Step 4: Simplify right side
    254,895.26x = 29,592,875,478.61
  5. Step 5: Solve for x
    x = 29,592,875,478.61/254,895.26
  6. Step 6: Final answer
    x = 116,098.18

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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.