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Finding the Fourth Proportional to 202,019.50, 303,073 and 77,360.50

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Solution

The fourth proportional to 202,019.50, 303,073 and 77,360.50 is: 116,057.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,019.50 : 303,073 = 77,360.50 : x
  2. Step 2: Convert to fraction form
    202,019.50/303,073 = 77,360.50/x
  3. Step 3: Cross multiply
    202,019.50x = 303,073 × 77,360.50
  4. Step 4: Simplify right side
    202,019.50x = 23,445,878,816.50
  5. Step 5: Solve for x
    x = 23,445,878,816.50/202,019.50
  6. Step 6: Final answer
    x = 116,057.50

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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.