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Finding the Fourth Proportional to 55,746, 76,920.84 and 31,873.68

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Solution

The fourth proportional to 55,746, 76,920.84 and 31,873.68 is: 43,980.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,746 : 76,920.84 = 31,873.68 : x
  2. Step 2: Convert to fraction form
    55,746/76,920.84 = 31,873.68/x
  3. Step 3: Cross multiply
    55,746x = 76,920.84 × 31,873.68
  4. Step 4: Simplify right side
    55,746x = 2,451,750,239.49
  5. Step 5: Solve for x
    x = 2,451,750,239.49/55,746
  6. Step 6: Final answer
    x = 43,980.74

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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.