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Finding the Fourth Proportional to 77,058.35, 115,577.07 and 20,902.07

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Solution

The fourth proportional to 77,058.35, 115,577.07 and 20,902.07 is: 31,350.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,058.35 : 115,577.07 = 20,902.07 : x
  2. Step 2: Convert to fraction form
    77,058.35/115,577.07 = 20,902.07/x
  3. Step 3: Cross multiply
    77,058.35x = 115,577.07 × 20,902.07
  4. Step 4: Simplify right side
    77,058.35x = 2,415,800,007.53
  5. Step 5: Solve for x
    x = 2,415,800,007.53/77,058.35
  6. Step 6: Final answer
    x = 31,350.27

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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.