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Finding the Fourth Proportional to 210,441.65, 315,662.48 and 77,264.29

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Solution

The fourth proportional to 210,441.65, 315,662.48 and 77,264.29 is: 115,896.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,441.65 : 315,662.48 = 77,264.29 : x
  2. Step 2: Convert to fraction form
    210,441.65/315,662.48 = 77,264.29/x
  3. Step 3: Cross multiply
    210,441.65x = 315,662.48 × 77,264.29
  4. Step 4: Simplify right side
    210,441.65x = 24,389,437,396.84
  5. Step 5: Solve for x
    x = 24,389,437,396.84/210,441.65
  6. Step 6: Final answer
    x = 115,896.44

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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.