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Finding the Fourth Proportional to 212,902.88, 293,810.22 and 137,582.60

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Solution

The fourth proportional to 212,902.88, 293,810.22 and 137,582.60 is: 189,866.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,902.88 : 293,810.22 = 137,582.60 : x
  2. Step 2: Convert to fraction form
    212,902.88/293,810.22 = 137,582.60/x
  3. Step 3: Cross multiply
    212,902.88x = 293,810.22 × 137,582.60
  4. Step 4: Simplify right side
    212,902.88x = 40,423,172,505.12
  5. Step 5: Solve for x
    x = 40,423,172,505.12/212,902.88
  6. Step 6: Final answer
    x = 189,866.73

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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.