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Finding the Fourth Proportional to 71,077.86, 106,524.77 and 28,908.95

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Solution

The fourth proportional to 71,077.86, 106,524.77 and 28,908.95 is: 43,325.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,077.86 : 106,524.77 = 28,908.95 : x
  2. Step 2: Convert to fraction form
    71,077.86/106,524.77 = 28,908.95/x
  3. Step 3: Cross multiply
    71,077.86x = 106,524.77 × 28,908.95
  4. Step 4: Simplify right side
    71,077.86x = 3,079,518,572.52
  5. Step 5: Solve for x
    x = 3,079,518,572.52/71,077.86
  6. Step 6: Final answer
    x = 43,325.99

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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.