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Finding the Fourth Proportional to 108,545.64, 162,820.62 and 71,342.88

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Solution

The fourth proportional to 108,545.64, 162,820.62 and 71,342.88 is: 107,015.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,545.64 : 162,820.62 = 71,342.88 : x
  2. Step 2: Convert to fraction form
    108,545.64/162,820.62 = 71,342.88/x
  3. Step 3: Cross multiply
    108,545.64x = 162,820.62 × 71,342.88
  4. Step 4: Simplify right side
    108,545.64x = 11,616,091,954.19
  5. Step 5: Solve for x
    x = 11,616,091,954.19/108,545.64
  6. Step 6: Final answer
    x = 107,015.74

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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.