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Finding the Fourth Proportional to 106,574.60, 159,803.12 and 43,378.50

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Solution

The fourth proportional to 106,574.60, 159,803.12 and 43,378.50 is: 65,043.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,574.60 : 159,803.12 = 43,378.50 : x
  2. Step 2: Convert to fraction form
    106,574.60/159,803.12 = 43,378.50/x
  3. Step 3: Cross multiply
    106,574.60x = 159,803.12 × 43,378.50
  4. Step 4: Simplify right side
    106,574.60x = 6,932,019,424.03
  5. Step 5: Solve for x
    x = 6,932,019,424.03/106,574.60
  6. Step 6: Final answer
    x = 65,043.83

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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.