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Finding the Fourth Proportional to 82,869.32, 114,359.64 and 45,143.56

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Solution

The fourth proportional to 82,869.32, 114,359.64 and 45,143.56 is: 62,298.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,869.32 : 114,359.64 = 45,143.56 : x
  2. Step 2: Convert to fraction form
    82,869.32/114,359.64 = 45,143.56/x
  3. Step 3: Cross multiply
    82,869.32x = 114,359.64 × 45,143.56
  4. Step 4: Simplify right side
    82,869.32x = 5,162,601,269.92
  5. Step 5: Solve for x
    x = 5,162,601,269.92/82,869.32
  6. Step 6: Final answer
    x = 62,298.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.