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Finding the Fourth Proportional to 209,901.20, 314,851.80 and 135,251.60

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Solution

The fourth proportional to 209,901.20, 314,851.80 and 135,251.60 is: 202,877.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,901.20 : 314,851.80 = 135,251.60 : x
  2. Step 2: Convert to fraction form
    209,901.20/314,851.80 = 135,251.60/x
  3. Step 3: Cross multiply
    209,901.20x = 314,851.80 × 135,251.60
  4. Step 4: Simplify right side
    209,901.20x = 42,584,209,712.88
  5. Step 5: Solve for x
    x = 42,584,209,712.88/209,901.20
  6. Step 6: Final answer
    x = 202,877.40

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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.