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Finding the Fourth Proportional to 138,893.60, 208,340.40 and 45,408.80

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Solution

The fourth proportional to 138,893.60, 208,340.40 and 45,408.80 is: 68,113.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,893.60 : 208,340.40 = 45,408.80 : x
  2. Step 2: Convert to fraction form
    138,893.60/208,340.40 = 45,408.80/x
  3. Step 3: Cross multiply
    138,893.60x = 208,340.40 × 45,408.80
  4. Step 4: Simplify right side
    138,893.60x = 9,460,487,555.52
  5. Step 5: Solve for x
    x = 9,460,487,555.52/138,893.60
  6. Step 6: Final answer
    x = 68,113.20

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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.