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Finding the Fourth Proportional to 189,803.44, 284,724.60 and 71,574.22

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Solution

The fourth proportional to 189,803.44, 284,724.60 and 71,574.22 is: 107,368.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,803.44 : 284,724.60 = 71,574.22 : x
  2. Step 2: Convert to fraction form
    189,803.44/284,724.60 = 71,574.22/x
  3. Step 3: Cross multiply
    189,803.44x = 284,724.60 × 71,574.22
  4. Step 4: Simplify right side
    189,803.44x = 20,378,941,159.81
  5. Step 5: Solve for x
    x = 20,378,941,159.81/189,803.44
  6. Step 6: Final answer
    x = 107,368.66

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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.