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Finding the Fourth Proportional to 78,474.70, 117,712.05 and 19,309.60

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Solution

The fourth proportional to 78,474.70, 117,712.05 and 19,309.60 is: 28,964.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,474.70 : 117,712.05 = 19,309.60 : x
  2. Step 2: Convert to fraction form
    78,474.70/117,712.05 = 19,309.60/x
  3. Step 3: Cross multiply
    78,474.70x = 117,712.05 × 19,309.60
  4. Step 4: Simplify right side
    78,474.70x = 2,272,972,600.68
  5. Step 5: Solve for x
    x = 2,272,972,600.68/78,474.70
  6. Step 6: Final answer
    x = 28,964.40

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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.