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Finding the Fourth Proportional to 137,213.80, 205,820.70 and 128,919.40

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Solution

The fourth proportional to 137,213.80, 205,820.70 and 128,919.40 is: 193,379.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,213.80 : 205,820.70 = 128,919.40 : x
  2. Step 2: Convert to fraction form
    137,213.80/205,820.70 = 128,919.40/x
  3. Step 3: Cross multiply
    137,213.80x = 205,820.70 × 128,919.40
  4. Step 4: Simplify right side
    137,213.80x = 26,534,281,151.58
  5. Step 5: Solve for x
    x = 26,534,281,151.58/137,213.80
  6. Step 6: Final answer
    x = 193,379.10

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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.