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Finding the Fourth Proportional to 210,378.20, 315,470.10 and 91,988.60

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Solution

The fourth proportional to 210,378.20, 315,470.10 and 91,988.60 is: 137,940.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,378.20 : 315,470.10 = 91,988.60 : x
  2. Step 2: Convert to fraction form
    210,378.20/315,470.10 = 91,988.60/x
  3. Step 3: Cross multiply
    210,378.20x = 315,470.10 × 91,988.60
  4. Step 4: Simplify right side
    210,378.20x = 29,019,652,840.86
  5. Step 5: Solve for x
    x = 29,019,652,840.86/210,378.20
  6. Step 6: Final answer
    x = 137,940.40

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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.