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Finding the Fourth Proportional to 52,656.78, 79,016.40 and 19,400.18

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Solution

The fourth proportional to 52,656.78, 79,016.40 and 19,400.18 is: 29,111.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,656.78 : 79,016.40 = 19,400.18 : x
  2. Step 2: Convert to fraction form
    52,656.78/79,016.40 = 19,400.18/x
  3. Step 3: Cross multiply
    52,656.78x = 79,016.40 × 19,400.18
  4. Step 4: Simplify right side
    52,656.78x = 1,532,932,382.95
  5. Step 5: Solve for x
    x = 1,532,932,382.95/52,656.78
  6. Step 6: Final answer
    x = 29,111.78

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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.