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Finding the Fourth Proportional to 70,933.72, 106,416.13 and 21,017.74

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Solution

The fourth proportional to 70,933.72, 106,416.13 and 21,017.74 is: 31,531.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,933.72 : 106,416.13 = 21,017.74 : x
  2. Step 2: Convert to fraction form
    70,933.72/106,416.13 = 21,017.74/x
  3. Step 3: Cross multiply
    70,933.72x = 106,416.13 × 21,017.74
  4. Step 4: Simplify right side
    70,933.72x = 2,236,626,552.15
  5. Step 5: Solve for x
    x = 2,236,626,552.15/70,933.72
  6. Step 6: Final answer
    x = 31,531.22

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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.