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Finding the Fourth Proportional to 77,243.50, 115,840.68 and 24,640.84

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Solution

The fourth proportional to 77,243.50, 115,840.68 and 24,640.84 is: 36,953.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,243.50 : 115,840.68 = 24,640.84 : x
  2. Step 2: Convert to fraction form
    77,243.50/115,840.68 = 24,640.84/x
  3. Step 3: Cross multiply
    77,243.50x = 115,840.68 × 24,640.84
  4. Step 4: Simplify right side
    77,243.50x = 2,854,411,661.37
  5. Step 5: Solve for x
    x = 2,854,411,661.37/77,243.50
  6. Step 6: Final answer
    x = 36,953.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.