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Finding the Fourth Proportional to 72,977.47, 100,708.85 and 39,443.47

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Solution

The fourth proportional to 72,977.47, 100,708.85 and 39,443.47 is: 54,431.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,977.47 : 100,708.85 = 39,443.47 : x
  2. Step 2: Convert to fraction form
    72,977.47/100,708.85 = 39,443.47/x
  3. Step 3: Cross multiply
    72,977.47x = 100,708.85 × 39,443.47
  4. Step 4: Simplify right side
    72,977.47x = 3,972,306,917.03
  5. Step 5: Solve for x
    x = 3,972,306,917.03/72,977.47
  6. Step 6: Final answer
    x = 54,431.96

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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.