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Finding the Fourth Proportional to 202,387.50, 303,595.83 and 77,728.50

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Solution

The fourth proportional to 202,387.50, 303,595.83 and 77,728.50 is: 116,598.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,387.50 : 303,595.83 = 77,728.50 : x
  2. Step 2: Convert to fraction form
    202,387.50/303,595.83 = 77,728.50/x
  3. Step 3: Cross multiply
    202,387.50x = 303,595.83 × 77,728.50
  4. Step 4: Simplify right side
    202,387.50x = 23,598,048,472.16
  5. Step 5: Solve for x
    x = 23,598,048,472.16/202,387.50
  6. Step 6: Final answer
    x = 116,598.35

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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.