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Finding the Fourth Proportional to 202,564.84, 303,788.70 and 77,876.20

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Solution

The fourth proportional to 202,564.84, 303,788.70 and 77,876.20 is: 116,791.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,564.84 : 303,788.70 = 77,876.20 : x
  2. Step 2: Convert to fraction form
    202,564.84/303,788.70 = 77,876.20/x
  3. Step 3: Cross multiply
    202,564.84x = 303,788.70 × 77,876.20
  4. Step 4: Simplify right side
    202,564.84x = 23,657,909,558.94
  5. Step 5: Solve for x
    x = 23,657,909,558.94/202,564.84
  6. Step 6: Final answer
    x = 116,791.79

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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.