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Finding the Fourth Proportional to 77,016.40, 115,400.40 and 43,637.20

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Solution

The fourth proportional to 77,016.40, 115,400.40 and 43,637.20 is: 65,385.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,016.40 : 115,400.40 = 43,637.20 : x
  2. Step 2: Convert to fraction form
    77,016.40/115,400.40 = 43,637.20/x
  3. Step 3: Cross multiply
    77,016.40x = 115,400.40 × 43,637.20
  4. Step 4: Simplify right side
    77,016.40x = 5,035,750,334.88
  5. Step 5: Solve for x
    x = 5,035,750,334.88/77,016.40
  6. Step 6: Final answer
    x = 65,385.43

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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.