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Finding the Fourth Proportional to 165,156.82, 247,740.36 and 78,583.71

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Solution

The fourth proportional to 165,156.82, 247,740.36 and 78,583.71 is: 117,878.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,156.82 : 247,740.36 = 78,583.71 : x
  2. Step 2: Convert to fraction form
    165,156.82/247,740.36 = 78,583.71/x
  3. Step 3: Cross multiply
    165,156.82x = 247,740.36 × 78,583.71
  4. Step 4: Simplify right side
    165,156.82x = 19,468,357,902.92
  5. Step 5: Solve for x
    x = 19,468,357,902.92/165,156.82
  6. Step 6: Final answer
    x = 117,878.02

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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.