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Finding the Fourth Proportional to 204,368.40, 306,426.12 and 85,978.80

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Solution

The fourth proportional to 204,368.40, 306,426.12 and 85,978.80 is: 128,914.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,368.40 : 306,426.12 = 85,978.80 : x
  2. Step 2: Convert to fraction form
    204,368.40/306,426.12 = 85,978.80/x
  3. Step 3: Cross multiply
    204,368.40x = 306,426.12 × 85,978.80
  4. Step 4: Simplify right side
    204,368.40x = 26,346,150,086.26
  5. Step 5: Solve for x
    x = 26,346,150,086.26/204,368.40
  6. Step 6: Final answer
    x = 128,914.99

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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.