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Finding the Fourth Proportional to 81,006.71, 121,509.72 and 21,848.36

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Solution

The fourth proportional to 81,006.71, 121,509.72 and 21,848.36 is: 32,772.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,006.71 : 121,509.72 = 21,848.36 : x
  2. Step 2: Convert to fraction form
    81,006.71/121,509.72 = 21,848.36/x
  3. Step 3: Cross multiply
    81,006.71x = 121,509.72 × 21,848.36
  4. Step 4: Simplify right side
    81,006.71x = 2,654,787,498.51
  5. Step 5: Solve for x
    x = 2,654,787,498.51/81,006.71
  6. Step 6: Final answer
    x = 32,772.44

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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.