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Finding the Fourth Proportional to 53,760.66, 80,642.10 and 19,565.28

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Solution

The fourth proportional to 53,760.66, 80,642.10 and 19,565.28 is: 29,348.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,760.66 : 80,642.10 = 19,565.28 : x
  2. Step 2: Convert to fraction form
    53,760.66/80,642.10 = 19,565.28/x
  3. Step 3: Cross multiply
    53,760.66x = 80,642.10 × 19,565.28
  4. Step 4: Simplify right side
    53,760.66x = 1,577,785,266.29
  5. Step 5: Solve for x
    x = 1,577,785,266.29/53,760.66
  6. Step 6: Final answer
    x = 29,348.32

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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.