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Finding the Fourth Proportional to 119,405.73, 164,780.98 and 64,959.09

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Solution

The fourth proportional to 119,405.73, 164,780.98 and 64,959.09 is: 89,644.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,405.73 : 164,780.98 = 64,959.09 : x
  2. Step 2: Convert to fraction form
    119,405.73/164,780.98 = 64,959.09/x
  3. Step 3: Cross multiply
    119,405.73x = 164,780.98 × 64,959.09
  4. Step 4: Simplify right side
    119,405.73x = 10,704,022,510.11
  5. Step 5: Solve for x
    x = 10,704,022,510.11/119,405.73
  6. Step 6: Final answer
    x = 89,644.13

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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.