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Finding the Fourth Proportional to 81,711.83, 122,574.80 and 22,547.49

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Solution

The fourth proportional to 81,711.83, 122,574.80 and 22,547.49 is: 33,823.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,711.83 : 122,574.80 = 22,547.49 : x
  2. Step 2: Convert to fraction form
    81,711.83/122,574.80 = 22,547.49/x
  3. Step 3: Cross multiply
    81,711.83x = 122,574.80 × 22,547.49
  4. Step 4: Simplify right side
    81,711.83x = 2,763,753,964.51
  5. Step 5: Solve for x
    x = 2,763,753,964.51/81,711.83
  6. Step 6: Final answer
    x = 33,823.18

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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.