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Finding the Fourth Proportional to 77,138.68, 106,506.54 and 60,161.89

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Solution

The fourth proportional to 77,138.68, 106,506.54 and 60,161.89 is: 83,066.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,138.68 : 106,506.54 = 60,161.89 : x
  2. Step 2: Convert to fraction form
    77,138.68/106,506.54 = 60,161.89/x
  3. Step 3: Cross multiply
    77,138.68x = 106,506.54 × 60,161.89
  4. Step 4: Simplify right side
    77,138.68x = 6,407,634,743.76
  5. Step 5: Solve for x
    x = 6,407,634,743.76/77,138.68
  6. Step 6: Final answer
    x = 83,066.43

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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.