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Finding the Fourth Proportional to 183,772.31, 253,605.78 and 103,199.90

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Solution

The fourth proportional to 183,772.31, 253,605.78 and 103,199.90 is: 142,415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,772.31 : 253,605.78 = 103,199.90 : x
  2. Step 2: Convert to fraction form
    183,772.31/253,605.78 = 103,199.90/x
  3. Step 3: Cross multiply
    183,772.31x = 253,605.78 × 103,199.90
  4. Step 4: Simplify right side
    183,772.31x = 26,172,089,867.39
  5. Step 5: Solve for x
    x = 26,172,089,867.39/183,772.31
  6. Step 6: Final answer
    x = 142,415.85

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Why These Related Problems?

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