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Finding the Fourth Proportional to 70,934.66, 106,401.75 and 21,015.14

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Solution

The fourth proportional to 70,934.66, 106,401.75 and 21,015.14 is: 31,522.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,934.66 : 106,401.75 = 21,015.14 : x
  2. Step 2: Convert to fraction form
    70,934.66/106,401.75 = 21,015.14/x
  3. Step 3: Cross multiply
    70,934.66x = 106,401.75 × 21,015.14
  4. Step 4: Simplify right side
    70,934.66x = 2,236,047,672.50
  5. Step 5: Solve for x
    x = 2,236,047,672.50/70,934.66
  6. Step 6: Final answer
    x = 31,522.64

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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.