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Finding the Fourth Proportional to 70,167.89, 105,302.25 and 28,023.81

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Solution

The fourth proportional to 70,167.89, 105,302.25 and 28,023.81 is: 42,055.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,167.89 : 105,302.25 = 28,023.81 : x
  2. Step 2: Convert to fraction form
    70,167.89/105,302.25 = 28,023.81/x
  3. Step 3: Cross multiply
    70,167.89x = 105,302.25 × 28,023.81
  4. Step 4: Simplify right side
    70,167.89x = 2,950,970,246.57
  5. Step 5: Solve for x
    x = 2,950,970,246.57/70,167.89
  6. Step 6: Final answer
    x = 42,055.85

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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.