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Finding the Fourth Proportional to 189,615.61, 284,465.84 and 71,287.98

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Solution

The fourth proportional to 189,615.61, 284,465.84 and 71,287.98 is: 106,947.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,615.61 : 284,465.84 = 71,287.98 : x
  2. Step 2: Convert to fraction form
    189,615.61/284,465.84 = 71,287.98/x
  3. Step 3: Cross multiply
    189,615.61x = 284,465.84 × 71,287.98
  4. Step 4: Simplify right side
    189,615.61x = 20,278,993,333.83
  5. Step 5: Solve for x
    x = 20,278,993,333.83/189,615.61
  6. Step 6: Final answer
    x = 106,947.91

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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.