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Finding the Fourth Proportional to 205,421.60, 308,132.40 and 134,919.20

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Solution

The fourth proportional to 205,421.60, 308,132.40 and 134,919.20 is: 202,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,421.60 : 308,132.40 = 134,919.20 : x
  2. Step 2: Convert to fraction form
    205,421.60/308,132.40 = 134,919.20/x
  3. Step 3: Cross multiply
    205,421.60x = 308,132.40 × 134,919.20
  4. Step 4: Simplify right side
    205,421.60x = 41,572,976,902.08
  5. Step 5: Solve for x
    x = 41,572,976,902.08/205,421.60
  6. Step 6: Final answer
    x = 202,378.80

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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.