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Finding the Fourth Proportional to 86,345, 129,524.84 and 24,015.50

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Solution

The fourth proportional to 86,345, 129,524.84 and 24,015.50 is: 36,025.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,345 : 129,524.84 = 24,015.50 : x
  2. Step 2: Convert to fraction form
    86,345/129,524.84 = 24,015.50/x
  3. Step 3: Cross multiply
    86,345x = 129,524.84 × 24,015.50
  4. Step 4: Simplify right side
    86,345x = 3,110,603,674.94
  5. Step 5: Solve for x
    x = 3,110,603,674.94/86,345
  6. Step 6: Final answer
    x = 36,025.29

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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.