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Finding the Fourth Proportional to 123,886.71, 170,868.97 and 106,688.86

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Solution

The fourth proportional to 123,886.71, 170,868.97 and 106,688.86 is: 147,149.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,886.71 : 170,868.97 = 106,688.86 : x
  2. Step 2: Convert to fraction form
    123,886.71/170,868.97 = 106,688.86/x
  3. Step 3: Cross multiply
    123,886.71x = 170,868.97 × 106,688.86
  4. Step 4: Simplify right side
    123,886.71x = 18,229,815,618.67
  5. Step 5: Solve for x
    x = 18,229,815,618.67/123,886.71
  6. Step 6: Final answer
    x = 147,149.08

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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.