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Finding the Fourth Proportional to 108,470, 162,537.16 and 75,254.64

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Solution

The fourth proportional to 108,470, 162,537.16 and 75,254.64 is: 112,765.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,470 : 162,537.16 = 75,254.64 : x
  2. Step 2: Convert to fraction form
    108,470/162,537.16 = 75,254.64/x
  3. Step 3: Cross multiply
    108,470x = 162,537.16 × 75,254.64
  4. Step 4: Simplify right side
    108,470x = 12,231,675,462.42
  5. Step 5: Solve for x
    x = 12,231,675,462.42/108,470
  6. Step 6: Final answer
    x = 112,765.52

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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.