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Finding the Fourth Proportional to 202,240.72, 303,400.10 and 77,572

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Solution

The fourth proportional to 202,240.72, 303,400.10 and 77,572 is: 116,372.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,240.72 : 303,400.10 = 77,572 : x
  2. Step 2: Convert to fraction form
    202,240.72/303,400.10 = 77,572/x
  3. Step 3: Cross multiply
    202,240.72x = 303,400.10 × 77,572
  4. Step 4: Simplify right side
    202,240.72x = 23,535,352,557.20
  5. Step 5: Solve for x
    x = 23,535,352,557.20/202,240.72
  6. Step 6: Final answer
    x = 116,372.97

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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.