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Finding the Fourth Proportional to 77,407.29, 106,844.74 and 50,553.97

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Solution

The fourth proportional to 77,407.29, 106,844.74 and 50,553.97 is: 69,779.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,407.29 : 106,844.74 = 50,553.97 : x
  2. Step 2: Convert to fraction form
    77,407.29/106,844.74 = 50,553.97/x
  3. Step 3: Cross multiply
    77,407.29x = 106,844.74 × 50,553.97
  4. Step 4: Simplify right side
    77,407.29x = 5,401,425,387.12
  5. Step 5: Solve for x
    x = 5,401,425,387.12/77,407.29
  6. Step 6: Final answer
    x = 69,779.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.