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Finding the Fourth Proportional to 254,702.30, 382,053.45 and 77,200.52

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Solution

The fourth proportional to 254,702.30, 382,053.45 and 77,200.52 is: 115,800.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,702.30 : 382,053.45 = 77,200.52 : x
  2. Step 2: Convert to fraction form
    254,702.30/382,053.45 = 77,200.52/x
  3. Step 3: Cross multiply
    254,702.30x = 382,053.45 × 77,200.52
  4. Step 4: Simplify right side
    254,702.30x = 29,494,725,007.79
  5. Step 5: Solve for x
    x = 29,494,725,007.79/254,702.30
  6. Step 6: Final answer
    x = 115,800.78

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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.