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Finding the Fourth Proportional to 208,058.60, 312,087.90 and 74,943.20

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Solution

The fourth proportional to 208,058.60, 312,087.90 and 74,943.20 is: 112,414.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,058.60 : 312,087.90 = 74,943.20 : x
  2. Step 2: Convert to fraction form
    208,058.60/312,087.90 = 74,943.20/x
  3. Step 3: Cross multiply
    208,058.60x = 312,087.90 × 74,943.20
  4. Step 4: Simplify right side
    208,058.60x = 23,388,865,907.28
  5. Step 5: Solve for x
    x = 23,388,865,907.28/208,058.60
  6. Step 6: Final answer
    x = 112,414.80

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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.