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Finding the Fourth Proportional to 49,800.47, 74,652.71 and 31,980.87

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Solution

The fourth proportional to 49,800.47, 74,652.71 and 31,980.87 is: 47,940.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,800.47 : 74,652.71 = 31,980.87 : x
  2. Step 2: Convert to fraction form
    49,800.47/74,652.71 = 31,980.87/x
  3. Step 3: Cross multiply
    49,800.47x = 74,652.71 × 31,980.87
  4. Step 4: Simplify right side
    49,800.47x = 2,387,458,453.75
  5. Step 5: Solve for x
    x = 2,387,458,453.75/49,800.47
  6. Step 6: Final answer
    x = 47,940.49

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1.5x scale

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.