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Finding the Fourth Proportional to 202,306.60, 303,459.90 and 70,978.60

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Solution

The fourth proportional to 202,306.60, 303,459.90 and 70,978.60 is: 106,467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,306.60 : 303,459.90 = 70,978.60 : x
  2. Step 2: Convert to fraction form
    202,306.60/303,459.90 = 70,978.60/x
  3. Step 3: Cross multiply
    202,306.60x = 303,459.90 × 70,978.60
  4. Step 4: Simplify right side
    202,306.60x = 21,539,158,858.14
  5. Step 5: Solve for x
    x = 21,539,158,858.14/202,306.60
  6. Step 6: Final answer
    x = 106,467.90

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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.