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Finding the Fourth Proportional to 102,403.78, 153,623.27 and 31,324.70

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Solution

The fourth proportional to 102,403.78, 153,623.27 and 31,324.70 is: 46,992.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,403.78 : 153,623.27 = 31,324.70 : x
  2. Step 2: Convert to fraction form
    102,403.78/153,623.27 = 31,324.70/x
  3. Step 3: Cross multiply
    102,403.78x = 153,623.27 × 31,324.70
  4. Step 4: Simplify right side
    102,403.78x = 4,812,203,308.14
  5. Step 5: Solve for x
    x = 4,812,203,308.14/102,403.78
  6. Step 6: Final answer
    x = 46,992.44

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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.