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Finding the Fourth Proportional to 70,784.91, 106,178.38 and 18,194.45

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Solution

The fourth proportional to 70,784.91, 106,178.38 and 18,194.45 is: 27,291.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,784.91 : 106,178.38 = 18,194.45 : x
  2. Step 2: Convert to fraction form
    70,784.91/106,178.38 = 18,194.45/x
  3. Step 3: Cross multiply
    70,784.91x = 106,178.38 × 18,194.45
  4. Step 4: Simplify right side
    70,784.91x = 1,931,856,649.61
  5. Step 5: Solve for x
    x = 1,931,856,649.61/70,784.91
  6. Step 6: Final answer
    x = 27,291.93

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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.