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Finding the Fourth Proportional to 189,429.60, 284,133.24 and 71,091

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Solution

The fourth proportional to 189,429.60, 284,133.24 and 71,091 is: 106,632.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,429.60 : 284,133.24 = 71,091 : x
  2. Step 2: Convert to fraction form
    189,429.60/284,133.24 = 71,091/x
  3. Step 3: Cross multiply
    189,429.60x = 284,133.24 × 71,091
  4. Step 4: Simplify right side
    189,429.60x = 20,199,316,164.84
  5. Step 5: Solve for x
    x = 20,199,316,164.84/189,429.60
  6. Step 6: Final answer
    x = 106,632.31

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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.