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Finding the Fourth Proportional to 74,021.72, 102,150.78 and 40,487

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Solution

The fourth proportional to 74,021.72, 102,150.78 and 40,487 is: 55,872.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,021.72 : 102,150.78 = 40,487 : x
  2. Step 2: Convert to fraction form
    74,021.72/102,150.78 = 40,487/x
  3. Step 3: Cross multiply
    74,021.72x = 102,150.78 × 40,487
  4. Step 4: Simplify right side
    74,021.72x = 4,135,778,629.86
  5. Step 5: Solve for x
    x = 4,135,778,629.86/74,021.72
  6. Step 6: Final answer
    x = 55,872.50

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1.5x scale

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.