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Finding the Fourth Proportional to 52,141.41, 78,223.50 and 18,858

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Solution

The fourth proportional to 52,141.41, 78,223.50 and 18,858 is: 28,291.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,141.41 : 78,223.50 = 18,858 : x
  2. Step 2: Convert to fraction form
    52,141.41/78,223.50 = 18,858/x
  3. Step 3: Cross multiply
    52,141.41x = 78,223.50 × 18,858
  4. Step 4: Simplify right side
    52,141.41x = 1,475,138,763
  5. Step 5: Solve for x
    x = 1,475,138,763/52,141.41
  6. Step 6: Final answer
    x = 28,291.12

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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.