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Finding the Fourth Proportional to 209,291.60, 314,110.20 and 97,144.40

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Solution

The fourth proportional to 209,291.60, 314,110.20 and 97,144.40 is: 145,796.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,291.60 : 314,110.20 = 97,144.40 : x
  2. Step 2: Convert to fraction form
    209,291.60/314,110.20 = 97,144.40/x
  3. Step 3: Cross multiply
    209,291.60x = 314,110.20 × 97,144.40
  4. Step 4: Simplify right side
    209,291.60x = 30,514,046,912.88
  5. Step 5: Solve for x
    x = 30,514,046,912.88/209,291.60
  6. Step 6: Final answer
    x = 145,796.81

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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.