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Finding the Fourth Proportional to 210,651.28, 315,945.68 and 77,500.40

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Solution

The fourth proportional to 210,651.28, 315,945.68 and 77,500.40 is: 116,239.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,651.28 : 315,945.68 = 77,500.40 : x
  2. Step 2: Convert to fraction form
    210,651.28/315,945.68 = 77,500.40/x
  3. Step 3: Cross multiply
    210,651.28x = 315,945.68 × 77,500.40
  4. Step 4: Simplify right side
    210,651.28x = 24,485,916,578.27
  5. Step 5: Solve for x
    x = 24,485,916,578.27/210,651.28
  6. Step 6: Final answer
    x = 116,239.11

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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.