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Finding the Fourth Proportional to 83,647.15, 115,429.09 and 47,350.24

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Solution

The fourth proportional to 83,647.15, 115,429.09 and 47,350.24 is: 65,341.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,647.15 : 115,429.09 = 47,350.24 : x
  2. Step 2: Convert to fraction form
    83,647.15/115,429.09 = 47,350.24/x
  3. Step 3: Cross multiply
    83,647.15x = 115,429.09 × 47,350.24
  4. Step 4: Simplify right side
    83,647.15x = 5,465,595,114.48
  5. Step 5: Solve for x
    x = 5,465,595,114.48/83,647.15
  6. Step 6: Final answer
    x = 65,341.08

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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.