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Finding the Fourth Proportional to 209,998.80, 314,998.20 and 121,425.30

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Solution

The fourth proportional to 209,998.80, 314,998.20 and 121,425.30 is: 182,137.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,998.80 : 314,998.20 = 121,425.30 : x
  2. Step 2: Convert to fraction form
    209,998.80/314,998.20 = 121,425.30/x
  3. Step 3: Cross multiply
    209,998.80x = 314,998.20 × 121,425.30
  4. Step 4: Simplify right side
    209,998.80x = 38,248,750,934.46
  5. Step 5: Solve for x
    x = 38,248,750,934.46/209,998.80
  6. Step 6: Final answer
    x = 182,137.95

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1.5x scale

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.