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Finding the Fourth Proportional to 119,886.11, 165,440.31 and 65,436.48

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Solution

The fourth proportional to 119,886.11, 165,440.31 and 65,436.48 is: 90,300.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,886.11 : 165,440.31 = 65,436.48 : x
  2. Step 2: Convert to fraction form
    119,886.11/165,440.31 = 65,436.48/x
  3. Step 3: Cross multiply
    119,886.11x = 165,440.31 × 65,436.48
  4. Step 4: Simplify right side
    119,886.11x = 10,825,831,291.12
  5. Step 5: Solve for x
    x = 10,825,831,291.12/119,886.11
  6. Step 6: Final answer
    x = 90,300.96

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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.