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Finding the Fourth Proportional to 77,793.40, 116,747.70 and 31,079.80

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Solution

The fourth proportional to 77,793.40, 116,747.70 and 31,079.80 is: 46,642.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,793.40 : 116,747.70 = 31,079.80 : x
  2. Step 2: Convert to fraction form
    77,793.40/116,747.70 = 31,079.80/x
  3. Step 3: Cross multiply
    77,793.40x = 116,747.70 × 31,079.80
  4. Step 4: Simplify right side
    77,793.40x = 3,628,495,166.46
  5. Step 5: Solve for x
    x = 3,628,495,166.46/77,793.40
  6. Step 6: Final answer
    x = 46,642.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.