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Finding the Fourth Proportional to 85,211.22, 127,873.71 and 29,807.22

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Solution

The fourth proportional to 85,211.22, 127,873.71 and 29,807.22 is: 44,730.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,211.22 : 127,873.71 = 29,807.22 : x
  2. Step 2: Convert to fraction form
    85,211.22/127,873.71 = 29,807.22/x
  3. Step 3: Cross multiply
    85,211.22x = 127,873.71 × 29,807.22
  4. Step 4: Simplify right side
    85,211.22x = 3,811,559,806.19
  5. Step 5: Solve for x
    x = 3,811,559,806.19/85,211.22
  6. Step 6: Final answer
    x = 44,730.73

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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.