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Finding the Fourth Proportional to 138,341.40, 207,512.10 and 68,211.60

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Solution

The fourth proportional to 138,341.40, 207,512.10 and 68,211.60 is: 102,317.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,341.40 : 207,512.10 = 68,211.60 : x
  2. Step 2: Convert to fraction form
    138,341.40/207,512.10 = 68,211.60/x
  3. Step 3: Cross multiply
    138,341.40x = 207,512.10 × 68,211.60
  4. Step 4: Simplify right side
    138,341.40x = 14,154,732,360.36
  5. Step 5: Solve for x
    x = 14,154,732,360.36/138,341.40
  6. Step 6: Final answer
    x = 102,317.40

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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.