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Finding the Fourth Proportional to 240,775.13, 332,268.97 and 138,800

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Solution

The fourth proportional to 240,775.13, 332,268.97 and 138,800 is: 191,543.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,775.13 : 332,268.97 = 138,800 : x
  2. Step 2: Convert to fraction form
    240,775.13/332,268.97 = 138,800/x
  3. Step 3: Cross multiply
    240,775.13x = 332,268.97 × 138,800
  4. Step 4: Simplify right side
    240,775.13x = 46,118,933,036.00
  5. Step 5: Solve for x
    x = 46,118,933,036.00/240,775.13
  6. Step 6: Final answer
    x = 191,543.59

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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.