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Finding the Fourth Proportional to 70,746, 106,119.72 and 21,498

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Solution

The fourth proportional to 70,746, 106,119.72 and 21,498 is: 32,247.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,746 : 106,119.72 = 21,498 : x
  2. Step 2: Convert to fraction form
    70,746/106,119.72 = 21,498/x
  3. Step 3: Cross multiply
    70,746x = 106,119.72 × 21,498
  4. Step 4: Simplify right side
    70,746x = 2,281,361,740.56
  5. Step 5: Solve for x
    x = 2,281,361,740.56/70,746
  6. Step 6: Final answer
    x = 32,247.22

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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.