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Finding the Fourth Proportional to 189,746.60, 284,660.90 and 71,417.59

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Solution

The fourth proportional to 189,746.60, 284,660.90 and 71,417.59 is: 107,141.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,746.60 : 284,660.90 = 71,417.59 : x
  2. Step 2: Convert to fraction form
    189,746.60/284,660.90 = 71,417.59/x
  3. Step 3: Cross multiply
    189,746.60x = 284,660.90 × 71,417.59
  4. Step 4: Simplify right side
    189,746.60x = 20,329,794,376.49
  5. Step 5: Solve for x
    x = 20,329,794,376.49/189,746.60
  6. Step 6: Final answer
    x = 107,141.81

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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.