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Finding the Fourth Proportional to 107,982.96, 149,009.28 and 67,695.12

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Solution

The fourth proportional to 107,982.96, 149,009.28 and 67,695.12 is: 93,414.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,982.96 : 149,009.28 = 67,695.12 : x
  2. Step 2: Convert to fraction form
    107,982.96/149,009.28 = 67,695.12/x
  3. Step 3: Cross multiply
    107,982.96x = 149,009.28 × 67,695.12
  4. Step 4: Simplify right side
    107,982.96x = 10,087,201,090.71
  5. Step 5: Solve for x
    x = 10,087,201,090.71/107,982.96
  6. Step 6: Final answer
    x = 93,414.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.