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Finding the Fourth Proportional to 52,891.76, 72,992 and 29,019.84

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Solution

The fourth proportional to 52,891.76, 72,992 and 29,019.84 is: 40,048.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,891.76 : 72,992 = 29,019.84 : x
  2. Step 2: Convert to fraction form
    52,891.76/72,992 = 29,019.84/x
  3. Step 3: Cross multiply
    52,891.76x = 72,992 × 29,019.84
  4. Step 4: Simplify right side
    52,891.76x = 2,118,216,161.28
  5. Step 5: Solve for x
    x = 2,118,216,161.28/52,891.76
  6. Step 6: Final answer
    x = 40,048.13

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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.