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Finding the Fourth Proportional to 165,158.33, 247,742.61 and 78,585.21

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Solution

The fourth proportional to 165,158.33, 247,742.61 and 78,585.21 is: 117,880.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,158.33 : 247,742.61 = 78,585.21 : x
  2. Step 2: Convert to fraction form
    165,158.33/247,742.61 = 78,585.21/x
  3. Step 3: Cross multiply
    165,158.33x = 247,742.61 × 78,585.21
  4. Step 4: Simplify right side
    165,158.33x = 19,468,905,032.80
  5. Step 5: Solve for x
    x = 19,468,905,032.80/165,158.33
  6. Step 6: Final answer
    x = 117,880.25

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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.