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Finding the Fourth Proportional to 210,350.45, 315,663.88 and 77,232.01

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Solution

The fourth proportional to 210,350.45, 315,663.88 and 77,232.01 is: 115,898.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,350.45 : 315,663.88 = 77,232.01 : x
  2. Step 2: Convert to fraction form
    210,350.45/315,663.88 = 77,232.01/x
  3. Step 3: Cross multiply
    210,350.45x = 315,663.88 × 77,232.01
  4. Step 4: Simplify right side
    210,350.45x = 24,379,355,936.80
  5. Step 5: Solve for x
    x = 24,379,355,936.80/210,350.45
  6. Step 6: Final answer
    x = 115,898.76

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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.