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Finding the Fourth Proportional to 109,803.36, 164,572.20 and 78,573

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Solution

The fourth proportional to 109,803.36, 164,572.20 and 78,573 is: 117,764.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,803.36 : 164,572.20 = 78,573 : x
  2. Step 2: Convert to fraction form
    109,803.36/164,572.20 = 78,573/x
  3. Step 3: Cross multiply
    109,803.36x = 164,572.20 × 78,573
  4. Step 4: Simplify right side
    109,803.36x = 12,930,931,470.60
  5. Step 5: Solve for x
    x = 12,930,931,470.60/109,803.36
  6. Step 6: Final answer
    x = 117,764.44

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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.