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Finding the Fourth Proportional to 115,102.10, 158,865.40 and 77,354.48

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Solution

The fourth proportional to 115,102.10, 158,865.40 and 77,354.48 is: 106,765.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,102.10 : 158,865.40 = 77,354.48 : x
  2. Step 2: Convert to fraction form
    115,102.10/158,865.40 = 77,354.48/x
  3. Step 3: Cross multiply
    115,102.10x = 158,865.40 × 77,354.48
  4. Step 4: Simplify right side
    115,102.10x = 12,288,950,406.99
  5. Step 5: Solve for x
    x = 12,288,950,406.99/115,102.10
  6. Step 6: Final answer
    x = 106,765.65

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