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Finding the Fourth Proportional to 76,442.68, 105,540.85 and 49,661.51

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Solution

The fourth proportional to 76,442.68, 105,540.85 and 49,661.51 is: 68,565.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,442.68 : 105,540.85 = 49,661.51 : x
  2. Step 2: Convert to fraction form
    76,442.68/105,540.85 = 49,661.51/x
  3. Step 3: Cross multiply
    76,442.68x = 105,540.85 × 49,661.51
  4. Step 4: Simplify right side
    76,442.68x = 5,241,317,977.68
  5. Step 5: Solve for x
    x = 5,241,317,977.68/76,442.68
  6. Step 6: Final answer
    x = 68,565.34

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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.