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Finding the Fourth Proportional to 212,322.87, 293,126.45 and 140,799.47

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Solution

The fourth proportional to 212,322.87, 293,126.45 and 140,799.47 is: 194,383.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,322.87 : 293,126.45 = 140,799.47 : x
  2. Step 2: Convert to fraction form
    212,322.87/293,126.45 = 140,799.47/x
  3. Step 3: Cross multiply
    212,322.87x = 293,126.45 × 140,799.47
  4. Step 4: Simplify right side
    212,322.87x = 41,272,046,633.35
  5. Step 5: Solve for x
    x = 41,272,046,633.35/212,322.87
  6. Step 6: Final answer
    x = 194,383.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.