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Finding the Fourth Proportional to 70,620, 105,930.24 and 21,372

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Solution

The fourth proportional to 70,620, 105,930.24 and 21,372 is: 32,058.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,620 : 105,930.24 = 21,372 : x
  2. Step 2: Convert to fraction form
    70,620/105,930.24 = 21,372/x
  3. Step 3: Cross multiply
    70,620x = 105,930.24 × 21,372
  4. Step 4: Simplify right side
    70,620x = 2,263,941,089.28
  5. Step 5: Solve for x
    x = 2,263,941,089.28/70,620
  6. Step 6: Final answer
    x = 32,058.07

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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.