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Finding the Fourth Proportional to 54,951.60, 75,834.86 and 31,077.80

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Solution

The fourth proportional to 54,951.60, 75,834.86 and 31,077.80 is: 42,888.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,951.60 : 75,834.86 = 31,077.80 : x
  2. Step 2: Convert to fraction form
    54,951.60/75,834.86 = 31,077.80/x
  3. Step 3: Cross multiply
    54,951.60x = 75,834.86 × 31,077.80
  4. Step 4: Simplify right side
    54,951.60x = 2,356,780,612.11
  5. Step 5: Solve for x
    x = 2,356,780,612.11/54,951.60
  6. Step 6: Final answer
    x = 42,888.30

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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.