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Finding the Fourth Proportional to 117,295.60, 162,002.45 and 77,188.41

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Solution

The fourth proportional to 117,295.60, 162,002.45 and 77,188.41 is: 106,608.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,295.60 : 162,002.45 = 77,188.41 : x
  2. Step 2: Convert to fraction form
    117,295.60/162,002.45 = 77,188.41/x
  3. Step 3: Cross multiply
    117,295.60x = 162,002.45 × 77,188.41
  4. Step 4: Simplify right side
    117,295.60x = 12,504,711,531.60
  5. Step 5: Solve for x
    x = 12,504,711,531.60/117,295.60
  6. Step 6: Final answer
    x = 106,608.53

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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.