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Finding the Fourth Proportional to 254,901.33, 382,327.16 and 77,409.87

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Solution

The fourth proportional to 254,901.33, 382,327.16 and 77,409.87 is: 116,107.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,901.33 : 382,327.16 = 77,409.87 : x
  2. Step 2: Convert to fraction form
    254,901.33/382,327.16 = 77,409.87/x
  3. Step 3: Cross multiply
    254,901.33x = 382,327.16 × 77,409.87
  4. Step 4: Simplify right side
    254,901.33x = 29,595,895,366.02
  5. Step 5: Solve for x
    x = 29,595,895,366.02/254,901.33
  6. Step 6: Final answer
    x = 116,107.26

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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.