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Finding the Fourth Proportional to 102,092.64, 153,126.80 and 27,218.40

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Solution

The fourth proportional to 102,092.64, 153,126.80 and 27,218.40 is: 40,824.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,092.64 : 153,126.80 = 27,218.40 : x
  2. Step 2: Convert to fraction form
    102,092.64/153,126.80 = 27,218.40/x
  3. Step 3: Cross multiply
    102,092.64x = 153,126.80 × 27,218.40
  4. Step 4: Simplify right side
    102,092.64x = 4,167,866,493.12
  5. Step 5: Solve for x
    x = 4,167,866,493.12/102,092.64
  6. Step 6: Final answer
    x = 40,824.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.