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Finding the Fourth Proportional to 212,967.20, 293,989.20 and 137,552.48

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Solution

The fourth proportional to 212,967.20, 293,989.20 and 137,552.48 is: 189,883.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,967.20 : 293,989.20 = 137,552.48 : x
  2. Step 2: Convert to fraction form
    212,967.20/293,989.20 = 137,552.48/x
  3. Step 3: Cross multiply
    212,967.20x = 293,989.20 × 137,552.48
  4. Step 4: Simplify right side
    212,967.20x = 40,438,943,553.22
  5. Step 5: Solve for x
    x = 40,438,943,553.22/212,967.20
  6. Step 6: Final answer
    x = 189,883.44

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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.