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Finding the Fourth Proportional to 209,285.60, 314,101.20 and 97,138.40

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Solution

The fourth proportional to 209,285.60, 314,101.20 and 97,138.40 is: 145,787.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,285.60 : 314,101.20 = 97,138.40 : x
  2. Step 2: Convert to fraction form
    209,285.60/314,101.20 = 97,138.40/x
  3. Step 3: Cross multiply
    209,285.60x = 314,101.20 × 97,138.40
  4. Step 4: Simplify right side
    209,285.60x = 30,511,288,006.08
  5. Step 5: Solve for x
    x = 30,511,288,006.08/209,285.60
  6. Step 6: Final answer
    x = 145,787.80

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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.