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Finding the Fourth Proportional to 210,602.44, 315,571.56 and 77,299.30

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Solution

The fourth proportional to 210,602.44, 315,571.56 and 77,299.30 is: 115,827.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,602.44 : 315,571.56 = 77,299.30 : x
  2. Step 2: Convert to fraction form
    210,602.44/315,571.56 = 77,299.30/x
  3. Step 3: Cross multiply
    210,602.44x = 315,571.56 × 77,299.30
  4. Step 4: Simplify right side
    210,602.44x = 24,393,460,687.91
  5. Step 5: Solve for x
    x = 24,393,460,687.91/210,602.44
  6. Step 6: Final answer
    x = 115,827.06

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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.