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Finding the Fourth Proportional to 125,778.31, 188,667.47 and 86,215.48

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Solution

The fourth proportional to 125,778.31, 188,667.47 and 86,215.48 is: 129,323.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,778.31 : 188,667.47 = 86,215.48 : x
  2. Step 2: Convert to fraction form
    125,778.31/188,667.47 = 86,215.48/x
  3. Step 3: Cross multiply
    125,778.31x = 188,667.47 × 86,215.48
  4. Step 4: Simplify right side
    125,778.31x = 16,266,056,230.31
  5. Step 5: Solve for x
    x = 16,266,056,230.31/125,778.31
  6. Step 6: Final answer
    x = 129,323.22

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1.5x scale

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.