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Finding the Fourth Proportional to 77,712, 107,242.56 and 44,184.48

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Solution

The fourth proportional to 77,712, 107,242.56 and 44,184.48 is: 60,974.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,712 : 107,242.56 = 44,184.48 : x
  2. Step 2: Convert to fraction form
    77,712/107,242.56 = 44,184.48/x
  3. Step 3: Cross multiply
    77,712x = 107,242.56 × 44,184.48
  4. Step 4: Simplify right side
    77,712x = 4,738,456,747.47
  5. Step 5: Solve for x
    x = 4,738,456,747.47/77,712
  6. Step 6: Final answer
    x = 60,974.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.