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Finding the Fourth Proportional to 254,760.16, 382,141.16 and 77,268.72

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Solution

The fourth proportional to 254,760.16, 382,141.16 and 77,268.72 is: 115,903.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,760.16 : 382,141.16 = 77,268.72 : x
  2. Step 2: Convert to fraction form
    254,760.16/382,141.16 = 77,268.72/x
  3. Step 3: Cross multiply
    254,760.16x = 382,141.16 × 77,268.72
  4. Step 4: Simplify right side
    254,760.16x = 29,527,558,292.52
  5. Step 5: Solve for x
    x = 29,527,558,292.52/254,760.16
  6. Step 6: Final answer
    x = 115,903.36

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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.