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Finding the Fourth Proportional to 103,116, 142,278.48 and 60,679.20

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Solution

The fourth proportional to 103,116, 142,278.48 and 60,679.20 is: 83,724.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,116 : 142,278.48 = 60,679.20 : x
  2. Step 2: Convert to fraction form
    103,116/142,278.48 = 60,679.20/x
  3. Step 3: Cross multiply
    103,116x = 142,278.48 × 60,679.20
  4. Step 4: Simplify right side
    103,116x = 8,633,344,343.62
  5. Step 5: Solve for x
    x = 8,633,344,343.62/103,116
  6. Step 6: Final answer
    x = 83,724.59

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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.