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Finding the Fourth Proportional to 77,720.70, 116,581.05 and 54,101.10

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Solution

The fourth proportional to 77,720.70, 116,581.05 and 54,101.10 is: 81,151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,720.70 : 116,581.05 = 54,101.10 : x
  2. Step 2: Convert to fraction form
    77,720.70/116,581.05 = 54,101.10/x
  3. Step 3: Cross multiply
    77,720.70x = 116,581.05 × 54,101.10
  4. Step 4: Simplify right side
    77,720.70x = 6,307,163,044.16
  5. Step 5: Solve for x
    x = 6,307,163,044.16/77,720.70
  6. Step 6: Final answer
    x = 81,151.65

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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.