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Finding the Fourth Proportional to 70,134.10, 105,356.84 and 43,499.78

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Solution

The fourth proportional to 70,134.10, 105,356.84 and 43,499.78 is: 65,346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,134.10 : 105,356.84 = 43,499.78 : x
  2. Step 2: Convert to fraction form
    70,134.10/105,356.84 = 43,499.78/x
  3. Step 3: Cross multiply
    70,134.10x = 105,356.84 × 43,499.78
  4. Step 4: Simplify right side
    70,134.10x = 4,582,998,943.46
  5. Step 5: Solve for x
    x = 4,582,998,943.46/70,134.10
  6. Step 6: Final answer
    x = 65,346.23

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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.