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Finding the Fourth Proportional to 212,841.60, 319,217.60 and 107,561.60

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Solution

The fourth proportional to 212,841.60, 319,217.60 and 107,561.60 is: 161,319.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,841.60 : 319,217.60 = 107,561.60 : x
  2. Step 2: Convert to fraction form
    212,841.60/319,217.60 = 107,561.60/x
  3. Step 3: Cross multiply
    212,841.60x = 319,217.60 × 107,561.60
  4. Step 4: Simplify right side
    212,841.60x = 34,335,555,804.16
  5. Step 5: Solve for x
    x = 34,335,555,804.16/212,841.60
  6. Step 6: Final answer
    x = 161,319.76

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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.