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Finding the Fourth Proportional to 212,616.99, 319,122.32 and 107,509.77

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Solution

The fourth proportional to 212,616.99, 319,122.32 and 107,509.77 is: 161,364.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,616.99 : 319,122.32 = 107,509.77 : x
  2. Step 2: Convert to fraction form
    212,616.99/319,122.32 = 107,509.77/x
  3. Step 3: Cross multiply
    212,616.99x = 319,122.32 × 107,509.77
  4. Step 4: Simplify right side
    212,616.99x = 34,308,766,687.52
  5. Step 5: Solve for x
    x = 34,308,766,687.52/212,616.99
  6. Step 6: Final answer
    x = 161,364.18

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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.