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Finding the Fourth Proportional to 145,272, 200,486.30 and 88,694.31

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Solution

The fourth proportional to 145,272, 200,486.30 and 88,694.31 is: 122,404.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,272 : 200,486.30 = 88,694.31 : x
  2. Step 2: Convert to fraction form
    145,272/200,486.30 = 88,694.31/x
  3. Step 3: Cross multiply
    145,272x = 200,486.30 × 88,694.31
  4. Step 4: Simplify right side
    145,272x = 17,781,993,599.48
  5. Step 5: Solve for x
    x = 17,781,993,599.48/145,272
  6. Step 6: Final answer
    x = 122,404.82

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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.