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Finding the Fourth Proportional to 78,679.92, 117,883.18 and 70,970.74

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Solution

The fourth proportional to 78,679.92, 117,883.18 and 70,970.74 is: 106,332.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,679.92 : 117,883.18 = 70,970.74 : x
  2. Step 2: Convert to fraction form
    78,679.92/117,883.18 = 70,970.74/x
  3. Step 3: Cross multiply
    78,679.92x = 117,883.18 × 70,970.74
  4. Step 4: Simplify right side
    78,679.92x = 8,366,256,163.30
  5. Step 5: Solve for x
    x = 8,366,256,163.30/78,679.92
  6. Step 6: Final answer
    x = 106,332.81

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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.