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Finding the Fourth Proportional to 189,904.40, 284,678.40 and 71,655.20

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Solution

The fourth proportional to 189,904.40, 284,678.40 and 71,655.20 is: 107,415.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,904.40 : 284,678.40 = 71,655.20 : x
  2. Step 2: Convert to fraction form
    189,904.40/284,678.40 = 71,655.20/x
  3. Step 3: Cross multiply
    189,904.40x = 284,678.40 × 71,655.20
  4. Step 4: Simplify right side
    189,904.40x = 20,398,687,687.68
  5. Step 5: Solve for x
    x = 20,398,687,687.68/189,904.40
  6. Step 6: Final answer
    x = 107,415.56

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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.