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Finding the Fourth Proportional to 52,085.98, 78,129.02 and 12,643.14

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Solution

The fourth proportional to 52,085.98, 78,129.02 and 12,643.14 is: 18,964.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,085.98 : 78,129.02 = 12,643.14 : x
  2. Step 2: Convert to fraction form
    52,085.98/78,129.02 = 12,643.14/x
  3. Step 3: Cross multiply
    52,085.98x = 78,129.02 × 12,643.14
  4. Step 4: Simplify right side
    52,085.98x = 987,796,137.92
  5. Step 5: Solve for x
    x = 987,796,137.92/52,085.98
  6. Step 6: Final answer
    x = 18,964.72

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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.