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Finding the Fourth Proportional to 254,237.52, 381,359.02 and 76,746.07

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Solution

The fourth proportional to 254,237.52, 381,359.02 and 76,746.07 is: 115,119.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,237.52 : 381,359.02 = 76,746.07 : x
  2. Step 2: Convert to fraction form
    254,237.52/381,359.02 = 76,746.07/x
  3. Step 3: Cross multiply
    254,237.52x = 381,359.02 × 76,746.07
  4. Step 4: Simplify right side
    254,237.52x = 29,267,806,044.05
  5. Step 5: Solve for x
    x = 29,267,806,044.05/254,237.52
  6. Step 6: Final answer
    x = 115,119.93

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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.