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Finding the Fourth Proportional to 77,731.92, 107,140.92 and 55,041.84

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Solution

The fourth proportional to 77,731.92, 107,140.92 and 55,041.84 is: 75,866.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,731.92 : 107,140.92 = 55,041.84 : x
  2. Step 2: Convert to fraction form
    77,731.92/107,140.92 = 55,041.84/x
  3. Step 3: Cross multiply
    77,731.92x = 107,140.92 × 55,041.84
  4. Step 4: Simplify right side
    77,731.92x = 5,897,233,376.09
  5. Step 5: Solve for x
    x = 5,897,233,376.09/77,731.92
  6. Step 6: Final answer
    x = 75,866.30

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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.