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Finding the Fourth Proportional to 270,213.52, 372,941.04 and 157,102

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Solution

The fourth proportional to 270,213.52, 372,941.04 and 157,102 is: 216,827.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,213.52 : 372,941.04 = 157,102 : x
  2. Step 2: Convert to fraction form
    270,213.52/372,941.04 = 157,102/x
  3. Step 3: Cross multiply
    270,213.52x = 372,941.04 × 157,102
  4. Step 4: Simplify right side
    270,213.52x = 58,589,783,266.08
  5. Step 5: Solve for x
    x = 58,589,783,266.08/270,213.52
  6. Step 6: Final answer
    x = 216,827.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.