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Finding the Fourth Proportional to 108,188.96, 162,046.08 and 89,256

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Solution

The fourth proportional to 108,188.96, 162,046.08 and 89,256 is: 133,688.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,188.96 : 162,046.08 = 89,256 : x
  2. Step 2: Convert to fraction form
    108,188.96/162,046.08 = 89,256/x
  3. Step 3: Cross multiply
    108,188.96x = 162,046.08 × 89,256
  4. Step 4: Simplify right side
    108,188.96x = 14,463,584,916.48
  5. Step 5: Solve for x
    x = 14,463,584,916.48/108,188.96
  6. Step 6: Final answer
    x = 133,688.18

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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.