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Finding the Fourth Proportional to 70,827.93, 106,217.13 and 20,894.77

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Solution

The fourth proportional to 70,827.93, 106,217.13 and 20,894.77 is: 31,334.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,827.93 : 106,217.13 = 20,894.77 : x
  2. Step 2: Convert to fraction form
    70,827.93/106,217.13 = 20,894.77/x
  3. Step 3: Cross multiply
    70,827.93x = 106,217.13 × 20,894.77
  4. Step 4: Simplify right side
    70,827.93x = 2,219,382,501.41
  5. Step 5: Solve for x
    x = 2,219,382,501.41/70,827.93
  6. Step 6: Final answer
    x = 31,334.85

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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.