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Finding the Fourth Proportional to 77,791.70, 116,428.35 and 71,570.90

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Solution

The fourth proportional to 77,791.70, 116,428.35 and 71,570.90 is: 107,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,791.70 : 116,428.35 = 71,570.90 : x
  2. Step 2: Convert to fraction form
    77,791.70/116,428.35 = 71,570.90/x
  3. Step 3: Cross multiply
    77,791.70x = 116,428.35 × 71,570.90
  4. Step 4: Simplify right side
    77,791.70x = 8,332,881,795.02
  5. Step 5: Solve for x
    x = 8,332,881,795.02/77,791.70
  6. Step 6: Final answer
    x = 107,117.88

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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.