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Finding the Fourth Proportional to 81,542.93, 122,326.54 and 28,948.01

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Solution

The fourth proportional to 81,542.93, 122,326.54 and 28,948.01 is: 43,426.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,542.93 : 122,326.54 = 28,948.01 : x
  2. Step 2: Convert to fraction form
    81,542.93/122,326.54 = 28,948.01/x
  3. Step 3: Cross multiply
    81,542.93x = 122,326.54 × 28,948.01
  4. Step 4: Simplify right side
    81,542.93x = 3,541,109,219.18
  5. Step 5: Solve for x
    x = 3,541,109,219.18/81,542.93
  6. Step 6: Final answer
    x = 43,426.32

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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.