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Finding the Fourth Proportional to 209,325.60, 314,061.30 and 91,081.80

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Solution

The fourth proportional to 209,325.60, 314,061.30 and 91,081.80 is: 136,654.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,325.60 : 314,061.30 = 91,081.80 : x
  2. Step 2: Convert to fraction form
    209,325.60/314,061.30 = 91,081.80/x
  3. Step 3: Cross multiply
    209,325.60x = 314,061.30 × 91,081.80
  4. Step 4: Simplify right side
    209,325.60x = 28,605,268,514.34
  5. Step 5: Solve for x
    x = 28,605,268,514.34/209,325.60
  6. Step 6: Final answer
    x = 136,654.42

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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.