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Finding the Fourth Proportional to 105,728.52, 145,891.92 and 57,969.28

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Solution

The fourth proportional to 105,728.52, 145,891.92 and 57,969.28 is: 79,990.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,728.52 : 145,891.92 = 57,969.28 : x
  2. Step 2: Convert to fraction form
    105,728.52/145,891.92 = 57,969.28/x
  3. Step 3: Cross multiply
    105,728.52x = 145,891.92 × 57,969.28
  4. Step 4: Simplify right side
    105,728.52x = 8,457,249,560.22
  5. Step 5: Solve for x
    x = 8,457,249,560.22/105,728.52
  6. Step 6: Final answer
    x = 79,990.24

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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.