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Finding the Fourth Proportional to 123,871.82, 170,947.16 and 70,155.65

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Solution

The fourth proportional to 123,871.82, 170,947.16 and 70,155.65 is: 96,817.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,871.82 : 170,947.16 = 70,155.65 : x
  2. Step 2: Convert to fraction form
    123,871.82/170,947.16 = 70,155.65/x
  3. Step 3: Cross multiply
    123,871.82x = 170,947.16 × 70,155.65
  4. Step 4: Simplify right side
    123,871.82x = 11,992,909,465.13
  5. Step 5: Solve for x
    x = 11,992,909,465.13/123,871.82
  6. Step 6: Final answer
    x = 96,817.10

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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.