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Finding the Fourth Proportional to 107,689.10, 148,588.43 and 65,239.43

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Solution

The fourth proportional to 107,689.10, 148,588.43 and 65,239.43 is: 90,016.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,689.10 : 148,588.43 = 65,239.43 : x
  2. Step 2: Convert to fraction form
    107,689.10/148,588.43 = 65,239.43/x
  3. Step 3: Cross multiply
    107,689.10x = 148,588.43 × 65,239.43
  4. Step 4: Simplify right side
    107,689.10x = 9,693,823,408.66
  5. Step 5: Solve for x
    x = 9,693,823,408.66/107,689.10
  6. Step 6: Final answer
    x = 90,016.76

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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.