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Finding the Fourth Proportional to 189,543.38, 284,331.47 and 49,302

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Solution

The fourth proportional to 189,543.38, 284,331.47 and 49,302 is: 73,957.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,543.38 : 284,331.47 = 49,302 : x
  2. Step 2: Convert to fraction form
    189,543.38/284,331.47 = 49,302/x
  3. Step 3: Cross multiply
    189,543.38x = 284,331.47 × 49,302
  4. Step 4: Simplify right side
    189,543.38x = 14,018,109,887.43
  5. Step 5: Solve for x
    x = 14,018,109,887.43/189,543.38
  6. Step 6: Final answer
    x = 73,957.27

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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.