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Finding the Fourth Proportional to 189,497.60, 284,246.40 and 137,273.60

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Solution

The fourth proportional to 189,497.60, 284,246.40 and 137,273.60 is: 205,910.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,497.60 : 284,246.40 = 137,273.60 : x
  2. Step 2: Convert to fraction form
    189,497.60/284,246.40 = 137,273.60/x
  3. Step 3: Cross multiply
    189,497.60x = 284,246.40 × 137,273.60
  4. Step 4: Simplify right side
    189,497.60x = 39,019,526,615.04
  5. Step 5: Solve for x
    x = 39,019,526,615.04/189,497.60
  6. Step 6: Final answer
    x = 205,910.40

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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.