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Finding the Fourth Proportional to 102,640.78, 153,965.49 and 32,518.54

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Solution

The fourth proportional to 102,640.78, 153,965.49 and 32,518.54 is: 48,779.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,640.78 : 153,965.49 = 32,518.54 : x
  2. Step 2: Convert to fraction form
    102,640.78/153,965.49 = 32,518.54/x
  3. Step 3: Cross multiply
    102,640.78x = 153,965.49 × 32,518.54
  4. Step 4: Simplify right side
    102,640.78x = 5,006,732,945.18
  5. Step 5: Solve for x
    x = 5,006,732,945.18/102,640.78
  6. Step 6: Final answer
    x = 48,779.18

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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.