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Finding the Fourth Proportional to 115,083.80, 172,508.05 and 77,647.67

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Solution

The fourth proportional to 115,083.80, 172,508.05 and 77,647.67 is: 116,392.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,083.80 : 172,508.05 = 77,647.67 : x
  2. Step 2: Convert to fraction form
    115,083.80/172,508.05 = 77,647.67/x
  3. Step 3: Cross multiply
    115,083.80x = 172,508.05 × 77,647.67
  4. Step 4: Simplify right side
    115,083.80x = 13,394,846,887.96
  5. Step 5: Solve for x
    x = 13,394,846,887.96/115,083.80
  6. Step 6: Final answer
    x = 116,392.12

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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.