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Finding the Fourth Proportional to 253,794.90, 380,730.61 and 109,740.13

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Solution

The fourth proportional to 253,794.90, 380,730.61 and 109,740.13 is: 164,626.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,794.90 : 380,730.61 = 109,740.13 : x
  2. Step 2: Convert to fraction form
    253,794.90/380,730.61 = 109,740.13/x
  3. Step 3: Cross multiply
    253,794.90x = 380,730.61 × 109,740.13
  4. Step 4: Simplify right side
    253,794.90x = 41,781,427,963.34
  5. Step 5: Solve for x
    x = 41,781,427,963.34/253,794.90
  6. Step 6: Final answer
    x = 164,626.75

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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.