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Finding the Fourth Proportional to 108,497, 162,746.46 and 38,388.20

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Solution

The fourth proportional to 108,497, 162,746.46 and 38,388.20 is: 57,582.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,497 : 162,746.46 = 38,388.20 : x
  2. Step 2: Convert to fraction form
    108,497/162,746.46 = 38,388.20/x
  3. Step 3: Cross multiply
    108,497x = 162,746.46 × 38,388.20
  4. Step 4: Simplify right side
    108,497x = 6,247,543,655.77
  5. Step 5: Solve for x
    x = 6,247,543,655.77/108,497
  6. Step 6: Final answer
    x = 57,582.64

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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.