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Finding the Fourth Proportional to 72,700.13, 109,093.95 and 31,147.13

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Solution

The fourth proportional to 72,700.13, 109,093.95 and 31,147.13 is: 46,739.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,700.13 : 109,093.95 = 31,147.13 : x
  2. Step 2: Convert to fraction form
    72,700.13/109,093.95 = 31,147.13/x
  3. Step 3: Cross multiply
    72,700.13x = 109,093.95 × 31,147.13
  4. Step 4: Simplify right side
    72,700.13x = 3,397,962,897.39
  5. Step 5: Solve for x
    x = 3,397,962,897.39/72,700.13
  6. Step 6: Final answer
    x = 46,739.44

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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.