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Finding the Fourth Proportional to 248,711.28, 343,221.60 and 135,534

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Solution

The fourth proportional to 248,711.28, 343,221.60 and 135,534 is: 187,036.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,711.28 : 343,221.60 = 135,534 : x
  2. Step 2: Convert to fraction form
    248,711.28/343,221.60 = 135,534/x
  3. Step 3: Cross multiply
    248,711.28x = 343,221.60 × 135,534
  4. Step 4: Simplify right side
    248,711.28x = 46,518,196,334.40
  5. Step 5: Solve for x
    x = 46,518,196,334.40/248,711.28
  6. Step 6: Final answer
    x = 187,036.94

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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.