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Finding the Fourth Proportional to 145,538, 200,851.80 and 88,216.88

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Solution

The fourth proportional to 145,538, 200,851.80 and 88,216.88 is: 121,744.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,538 : 200,851.80 = 88,216.88 : x
  2. Step 2: Convert to fraction form
    145,538/200,851.80 = 88,216.88/x
  3. Step 3: Cross multiply
    145,538x = 200,851.80 × 88,216.88
  4. Step 4: Simplify right side
    145,538x = 17,718,519,138.38
  5. Step 5: Solve for x
    x = 17,718,519,138.38/145,538
  6. Step 6: Final answer
    x = 121,744.97

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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.