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Finding the Fourth Proportional to 189,686.64, 284,313.96 and 63,297.21

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Solution

The fourth proportional to 189,686.64, 284,313.96 and 63,297.21 is: 94,873.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,686.64 : 284,313.96 = 63,297.21 : x
  2. Step 2: Convert to fraction form
    189,686.64/284,313.96 = 63,297.21/x
  3. Step 3: Cross multiply
    189,686.64x = 284,313.96 × 63,297.21
  4. Step 4: Simplify right side
    189,686.64x = 17,996,280,432.05
  5. Step 5: Solve for x
    x = 17,996,280,432.05/189,686.64
  6. Step 6: Final answer
    x = 94,873.74

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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.