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Finding the Fourth Proportional to 81,959.16, 122,969.52 and 42,491.64

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Solution

The fourth proportional to 81,959.16, 122,969.52 and 42,491.64 is: 63,753.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,959.16 : 122,969.52 = 42,491.64 : x
  2. Step 2: Convert to fraction form
    81,959.16/122,969.52 = 42,491.64/x
  3. Step 3: Cross multiply
    81,959.16x = 122,969.52 × 42,491.64
  4. Step 4: Simplify right side
    81,959.16x = 5,225,176,574.81
  5. Step 5: Solve for x
    x = 5,225,176,574.81/81,959.16
  6. Step 6: Final answer
    x = 63,753.42

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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.