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Finding the Fourth Proportional to 155,776.88, 214,830.96 and 102,042.30

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Solution

The fourth proportional to 155,776.88, 214,830.96 and 102,042.30 is: 140,725.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,776.88 : 214,830.96 = 102,042.30 : x
  2. Step 2: Convert to fraction form
    155,776.88/214,830.96 = 102,042.30/x
  3. Step 3: Cross multiply
    155,776.88x = 214,830.96 × 102,042.30
  4. Step 4: Simplify right side
    155,776.88x = 21,921,845,269.61
  5. Step 5: Solve for x
    x = 21,921,845,269.61/155,776.88
  6. Step 6: Final answer
    x = 140,725.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.