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Finding the Fourth Proportional to 74,117.64, 111,142.84 and 31,977.79

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Solution

The fourth proportional to 74,117.64, 111,142.84 and 31,977.79 is: 47,952.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,117.64 : 111,142.84 = 31,977.79 : x
  2. Step 2: Convert to fraction form
    74,117.64/111,142.84 = 31,977.79/x
  3. Step 3: Cross multiply
    74,117.64x = 111,142.84 × 31,977.79
  4. Step 4: Simplify right side
    74,117.64x = 3,554,102,237.63
  5. Step 5: Solve for x
    x = 3,554,102,237.63/74,117.64
  6. Step 6: Final answer
    x = 47,952.18

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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.