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Finding the Fourth Proportional to 54,910.83, 75,780.80 and 31,037.68

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Solution

The fourth proportional to 54,910.83, 75,780.80 and 31,037.68 is: 42,834.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,910.83 : 75,780.80 = 31,037.68 : x
  2. Step 2: Convert to fraction form
    54,910.83/75,780.80 = 31,037.68/x
  3. Step 3: Cross multiply
    54,910.83x = 75,780.80 × 31,037.68
  4. Step 4: Simplify right side
    54,910.83x = 2,352,060,220.54
  5. Step 5: Solve for x
    x = 2,352,060,220.54/54,910.83
  6. Step 6: Final answer
    x = 42,834.18

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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.