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Finding the Fourth Proportional to 188,840.86, 283,269.11 and 55,721.12

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Solution

The fourth proportional to 188,840.86, 283,269.11 and 55,721.12 is: 83,583.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,840.86 : 283,269.11 = 55,721.12 : x
  2. Step 2: Convert to fraction form
    188,840.86/283,269.11 = 55,721.12/x
  3. Step 3: Cross multiply
    188,840.86x = 283,269.11 × 55,721.12
  4. Step 4: Simplify right side
    188,840.86x = 15,784,071,153.48
  5. Step 5: Solve for x
    x = 15,784,071,153.48/188,840.86
  6. Step 6: Final answer
    x = 83,583.98

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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.