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Finding the Fourth Proportional to 107,967.81, 148,965.67 and 69,728.97

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Solution

The fourth proportional to 107,967.81, 148,965.67 and 69,728.97 is: 96,206.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,967.81 : 148,965.67 = 69,728.97 : x
  2. Step 2: Convert to fraction form
    107,967.81/148,965.67 = 69,728.97/x
  3. Step 3: Cross multiply
    107,967.81x = 148,965.67 × 69,728.97
  4. Step 4: Simplify right side
    107,967.81x = 10,387,222,734.46
  5. Step 5: Solve for x
    x = 10,387,222,734.46/107,967.81
  6. Step 6: Final answer
    x = 96,206.66

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1.5x scale

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.