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Finding the Fourth Proportional to 189,512, 284,269.44 and 64,854.08

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Solution

The fourth proportional to 189,512, 284,269.44 and 64,854.08 is: 97,281.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,512 : 284,269.44 = 64,854.08 : x
  2. Step 2: Convert to fraction form
    189,512/284,269.44 = 64,854.08/x
  3. Step 3: Cross multiply
    189,512x = 284,269.44 × 64,854.08
  4. Step 4: Simplify right side
    189,512x = 18,436,033,003.32
  5. Step 5: Solve for x
    x = 18,436,033,003.32/189,512
  6. Step 6: Final answer
    x = 97,281.61

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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.