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Finding the Fourth Proportional to 227,551.60, 341,327.40 and 138,978.10

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Solution

The fourth proportional to 227,551.60, 341,327.40 and 138,978.10 is: 208,467.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,551.60 : 341,327.40 = 138,978.10 : x
  2. Step 2: Convert to fraction form
    227,551.60/341,327.40 = 138,978.10/x
  3. Step 3: Cross multiply
    227,551.60x = 341,327.40 × 138,978.10
  4. Step 4: Simplify right side
    227,551.60x = 47,437,033,529.94
  5. Step 5: Solve for x
    x = 47,437,033,529.94/227,551.60
  6. Step 6: Final answer
    x = 208,467.15

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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.