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Finding the Fourth Proportional to 42,768, 64,177.92 and 18,144

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Solution

The fourth proportional to 42,768, 64,177.92 and 18,144 is: 27,227.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,768 : 64,177.92 = 18,144 : x
  2. Step 2: Convert to fraction form
    42,768/64,177.92 = 18,144/x
  3. Step 3: Cross multiply
    42,768x = 64,177.92 × 18,144
  4. Step 4: Simplify right side
    42,768x = 1,164,444,180.48
  5. Step 5: Solve for x
    x = 1,164,444,180.48/42,768
  6. Step 6: Final answer
    x = 27,227.00

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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.