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Finding the Fourth Proportional to 189,507.78, 284,410.23 and 132,209.07

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Solution

The fourth proportional to 189,507.78, 284,410.23 and 132,209.07 is: 198,417.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,507.78 : 284,410.23 = 132,209.07 : x
  2. Step 2: Convert to fraction form
    189,507.78/284,410.23 = 132,209.07/x
  3. Step 3: Cross multiply
    189,507.78x = 284,410.23 × 132,209.07
  4. Step 4: Simplify right side
    189,507.78x = 37,601,612,006.79
  5. Step 5: Solve for x
    x = 37,601,612,006.79/189,507.78
  6. Step 6: Final answer
    x = 198,417.25

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1.5x scale

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.