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Finding the Fourth Proportional to 212,987.70, 319,210.20 and 113,195.70

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Solution

The fourth proportional to 212,987.70, 319,210.20 and 113,195.70 is: 169,649.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,987.70 : 319,210.20 = 113,195.70 : x
  2. Step 2: Convert to fraction form
    212,987.70/319,210.20 = 113,195.70/x
  3. Step 3: Cross multiply
    212,987.70x = 319,210.20 × 113,195.70
  4. Step 4: Simplify right side
    212,987.70x = 36,133,222,036.14
  5. Step 5: Solve for x
    x = 36,133,222,036.14/212,987.70
  6. Step 6: Final answer
    x = 169,649.34

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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.