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Finding the Fourth Proportional to 104,688.31, 144,408.37 and 65,864.41

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Solution

The fourth proportional to 104,688.31, 144,408.37 and 65,864.41 is: 90,854.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,688.31 : 144,408.37 = 65,864.41 : x
  2. Step 2: Convert to fraction form
    104,688.31/144,408.37 = 65,864.41/x
  3. Step 3: Cross multiply
    104,688.31x = 144,408.37 × 65,864.41
  4. Step 4: Simplify right side
    104,688.31x = 9,511,372,089.11
  5. Step 5: Solve for x
    x = 9,511,372,089.11/104,688.31
  6. Step 6: Final answer
    x = 90,854.19

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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.