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Finding the Fourth Proportional to 189,319.84, 284,046.72 and 84,129.28

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Solution

The fourth proportional to 189,319.84, 284,046.72 and 84,129.28 is: 126,223.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,319.84 : 284,046.72 = 84,129.28 : x
  2. Step 2: Convert to fraction form
    189,319.84/284,046.72 = 84,129.28/x
  3. Step 3: Cross multiply
    189,319.84x = 284,046.72 × 84,129.28
  4. Step 4: Simplify right side
    189,319.84x = 23,896,646,039.96
  5. Step 5: Solve for x
    x = 23,896,646,039.96/189,319.84
  6. Step 6: Final answer
    x = 126,223.68

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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.