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Finding the Fourth Proportional to 77,740.92, 107,290.62 and 45,912.78

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Solution

The fourth proportional to 77,740.92, 107,290.62 and 45,912.78 is: 63,364.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,740.92 : 107,290.62 = 45,912.78 : x
  2. Step 2: Convert to fraction form
    77,740.92/107,290.62 = 45,912.78/x
  3. Step 3: Cross multiply
    77,740.92x = 107,290.62 × 45,912.78
  4. Step 4: Simplify right side
    77,740.92x = 4,926,010,632.12
  5. Step 5: Solve for x
    x = 4,926,010,632.12/77,740.92
  6. Step 6: Final answer
    x = 63,364.45

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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.