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Finding the Fourth Proportional to 70,668, 106,002.18 and 21,420

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Solution

The fourth proportional to 70,668, 106,002.18 and 21,420 is: 32,130.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,668 : 106,002.18 = 21,420 : x
  2. Step 2: Convert to fraction form
    70,668/106,002.18 = 21,420/x
  3. Step 3: Cross multiply
    70,668x = 106,002.18 × 21,420
  4. Step 4: Simplify right side
    70,668x = 2,270,566,695.60
  5. Step 5: Solve for x
    x = 2,270,566,695.60/70,668
  6. Step 6: Final answer
    x = 32,130.05

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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.