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Finding the Fourth Proportional to 189,807.90, 284,821.20 and 71,564.10

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Solution

The fourth proportional to 189,807.90, 284,821.20 and 71,564.10 is: 107,387.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,807.90 : 284,821.20 = 71,564.10 : x
  2. Step 2: Convert to fraction form
    189,807.90/284,821.20 = 71,564.10/x
  3. Step 3: Cross multiply
    189,807.90x = 284,821.20 × 71,564.10
  4. Step 4: Simplify right side
    189,807.90x = 20,382,972,838.92
  5. Step 5: Solve for x
    x = 20,382,972,838.92/189,807.90
  6. Step 6: Final answer
    x = 107,387.38

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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.