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Finding the Fourth Proportional to 85,873.28, 118,724.16 and 64,760.96

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Solution

The fourth proportional to 85,873.28, 118,724.16 and 64,760.96 is: 89,535.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,873.28 : 118,724.16 = 64,760.96 : x
  2. Step 2: Convert to fraction form
    85,873.28/118,724.16 = 64,760.96/x
  3. Step 3: Cross multiply
    85,873.28x = 118,724.16 × 64,760.96
  4. Step 4: Simplify right side
    85,873.28x = 7,688,690,576.79
  5. Step 5: Solve for x
    x = 7,688,690,576.79/85,873.28
  6. Step 6: Final answer
    x = 89,535.31

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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.