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Finding the Fourth Proportional to 209,156.60, 313,907.70 and 97,009.40

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Solution

The fourth proportional to 209,156.60, 313,907.70 and 97,009.40 is: 145,594.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,156.60 : 313,907.70 = 97,009.40 : x
  2. Step 2: Convert to fraction form
    209,156.60/313,907.70 = 97,009.40/x
  3. Step 3: Cross multiply
    209,156.60x = 313,907.70 × 97,009.40
  4. Step 4: Simplify right side
    209,156.60x = 30,451,997,632.38
  5. Step 5: Solve for x
    x = 30,451,997,632.38/209,156.60
  6. Step 6: Final answer
    x = 145,594.25

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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.