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Finding the Fourth Proportional to 70,961.20, 106,403.40 and 29,412.40

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Solution

The fourth proportional to 70,961.20, 106,403.40 and 29,412.40 is: 44,102.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,961.20 : 106,403.40 = 29,412.40 : x
  2. Step 2: Convert to fraction form
    70,961.20/106,403.40 = 29,412.40/x
  3. Step 3: Cross multiply
    70,961.20x = 106,403.40 × 29,412.40
  4. Step 4: Simplify right side
    70,961.20x = 3,129,579,362.16
  5. Step 5: Solve for x
    x = 3,129,579,362.16/70,961.20
  6. Step 6: Final answer
    x = 44,102.68

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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.