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Finding the Fourth Proportional to 71,983.61, 107,981.88 and 19,391.93

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Solution

The fourth proportional to 71,983.61, 107,981.88 and 19,391.93 is: 29,089.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,983.61 : 107,981.88 = 19,391.93 : x
  2. Step 2: Convert to fraction form
    71,983.61/107,981.88 = 19,391.93/x
  3. Step 3: Cross multiply
    71,983.61x = 107,981.88 × 19,391.93
  4. Step 4: Simplify right side
    71,983.61x = 2,093,976,518.32
  5. Step 5: Solve for x
    x = 2,093,976,518.32/71,983.61
  6. Step 6: Final answer
    x = 29,089.63

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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.