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Finding the Fourth Proportional to 77,100.40, 115,526.40 and 43,721.20

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Solution

The fourth proportional to 77,100.40, 115,526.40 and 43,721.20 is: 65,511.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,100.40 : 115,526.40 = 43,721.20 : x
  2. Step 2: Convert to fraction form
    77,100.40/115,526.40 = 43,721.20/x
  3. Step 3: Cross multiply
    77,100.40x = 115,526.40 × 43,721.20
  4. Step 4: Simplify right side
    77,100.40x = 5,050,952,839.68
  5. Step 5: Solve for x
    x = 5,050,952,839.68/77,100.40
  6. Step 6: Final answer
    x = 65,511.37

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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.