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Finding the Fourth Proportional to 52,275, 78,376.86 and 17,209.56

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Solution

The fourth proportional to 52,275, 78,376.86 and 17,209.56 is: 25,802.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,275 : 78,376.86 = 17,209.56 : x
  2. Step 2: Convert to fraction form
    52,275/78,376.86 = 17,209.56/x
  3. Step 3: Cross multiply
    52,275x = 78,376.86 × 17,209.56
  4. Step 4: Simplify right side
    52,275x = 1,348,831,274.78
  5. Step 5: Solve for x
    x = 1,348,831,274.78/52,275
  6. Step 6: Final answer
    x = 25,802.61

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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.