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Finding the Fourth Proportional to 212,712.70, 319,069.05 and 133,980.70

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Solution

The fourth proportional to 212,712.70, 319,069.05 and 133,980.70 is: 200,971.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,712.70 : 319,069.05 = 133,980.70 : x
  2. Step 2: Convert to fraction form
    212,712.70/319,069.05 = 133,980.70/x
  3. Step 3: Cross multiply
    212,712.70x = 319,069.05 × 133,980.70
  4. Step 4: Simplify right side
    212,712.70x = 42,749,094,667.34
  5. Step 5: Solve for x
    x = 42,749,094,667.34/212,712.70
  6. Step 6: Final answer
    x = 200,971.05

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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.