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Finding the Fourth Proportional to 108,096, 162,144 and 42,432

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Solution

The fourth proportional to 108,096, 162,144 and 42,432 is: 63,648

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,096 : 162,144 = 42,432 : x
  2. Step 2: Convert to fraction form
    108,096/162,144 = 42,432/x
  3. Step 3: Cross multiply
    108,096x = 162,144 × 42,432
  4. Step 4: Simplify right side
    108,096x = 6,880,094,208
  5. Step 5: Solve for x
    x = 6,880,094,208/108,096
  6. Step 6: Final answer
    x = 63,648

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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.