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Finding the Fourth Proportional to 52,310, 78,500.28 and 19,478

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Solution

The fourth proportional to 52,310, 78,500.28 and 19,478 is: 29,230.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,310 : 78,500.28 = 19,478 : x
  2. Step 2: Convert to fraction form
    52,310/78,500.28 = 19,478/x
  3. Step 3: Cross multiply
    52,310x = 78,500.28 × 19,478
  4. Step 4: Simplify right side
    52,310x = 1,529,028,453.84
  5. Step 5: Solve for x
    x = 1,529,028,453.84/52,310
  6. Step 6: Final answer
    x = 29,230.14

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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.