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Finding the Fourth Proportional to 189,843.52, 284,937.76 and 101,172.80

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Solution

The fourth proportional to 189,843.52, 284,937.76 and 101,172.80 is: 151,851.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,843.52 : 284,937.76 = 101,172.80 : x
  2. Step 2: Convert to fraction form
    189,843.52/284,937.76 = 101,172.80/x
  3. Step 3: Cross multiply
    189,843.52x = 284,937.76 × 101,172.80
  4. Step 4: Simplify right side
    189,843.52x = 28,827,951,004.93
  5. Step 5: Solve for x
    x = 28,827,951,004.93/189,843.52
  6. Step 6: Final answer
    x = 151,851.12

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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.