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Finding the Fourth Proportional to 209,820.60, 314,730.90 and 131,023.80

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Solution

The fourth proportional to 209,820.60, 314,730.90 and 131,023.80 is: 196,535.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,820.60 : 314,730.90 = 131,023.80 : x
  2. Step 2: Convert to fraction form
    209,820.60/314,730.90 = 131,023.80/x
  3. Step 3: Cross multiply
    209,820.60x = 314,730.90 × 131,023.80
  4. Step 4: Simplify right side
    209,820.60x = 41,237,238,495.42
  5. Step 5: Solve for x
    x = 41,237,238,495.42/209,820.60
  6. Step 6: Final answer
    x = 196,535.70

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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.