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Finding the Fourth Proportional to 148,889.92, 205,464.48 and 85,223.68

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Solution

The fourth proportional to 148,889.92, 205,464.48 and 85,223.68 is: 117,606.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,889.92 : 205,464.48 = 85,223.68 : x
  2. Step 2: Convert to fraction form
    148,889.92/205,464.48 = 85,223.68/x
  3. Step 3: Cross multiply
    148,889.92x = 205,464.48 × 85,223.68
  4. Step 4: Simplify right side
    148,889.92x = 17,510,439,094.89
  5. Step 5: Solve for x
    x = 17,510,439,094.89/148,889.92
  6. Step 6: Final answer
    x = 117,606.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.