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Finding the Fourth Proportional to 52,122.66, 78,184 and 20,950.62

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Solution

The fourth proportional to 52,122.66, 78,184 and 20,950.62 is: 31,425.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,122.66 : 78,184 = 20,950.62 : x
  2. Step 2: Convert to fraction form
    52,122.66/78,184 = 20,950.62/x
  3. Step 3: Cross multiply
    52,122.66x = 78,184 × 20,950.62
  4. Step 4: Simplify right side
    52,122.66x = 1,638,003,274.08
  5. Step 5: Solve for x
    x = 1,638,003,274.08/52,122.66
  6. Step 6: Final answer
    x = 31,425.93

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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.