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Finding the Fourth Proportional to 189,737.40, 284,606.10 and 71,435.28

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Solution

The fourth proportional to 189,737.40, 284,606.10 and 71,435.28 is: 107,152.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,737.40 : 284,606.10 = 71,435.28 : x
  2. Step 2: Convert to fraction form
    189,737.40/284,606.10 = 71,435.28/x
  3. Step 3: Cross multiply
    189,737.40x = 284,606.10 × 71,435.28
  4. Step 4: Simplify right side
    189,737.40x = 20,330,916,443.21
  5. Step 5: Solve for x
    x = 20,330,916,443.21/189,737.40
  6. Step 6: Final answer
    x = 107,152.92

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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.