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Finding the Fourth Proportional to 187,137.84, 280,203.75 and 142,552.20

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Solution

The fourth proportional to 187,137.84, 280,203.75 and 142,552.20 is: 213,445.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,137.84 : 280,203.75 = 142,552.20 : x
  2. Step 2: Convert to fraction form
    187,137.84/280,203.75 = 142,552.20/x
  3. Step 3: Cross multiply
    187,137.84x = 280,203.75 × 142,552.20
  4. Step 4: Simplify right side
    187,137.84x = 39,943,661,010.75
  5. Step 5: Solve for x
    x = 39,943,661,010.75/187,137.84
  6. Step 6: Final answer
    x = 213,445.13

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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.