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Finding the Fourth Proportional to 98,143.52, 135,438 and 53,431.52

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Solution

The fourth proportional to 98,143.52, 135,438 and 53,431.52 is: 73,735.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,143.52 : 135,438 = 53,431.52 : x
  2. Step 2: Convert to fraction form
    98,143.52/135,438 = 53,431.52/x
  3. Step 3: Cross multiply
    98,143.52x = 135,438 × 53,431.52
  4. Step 4: Simplify right side
    98,143.52x = 7,236,658,205.76
  5. Step 5: Solve for x
    x = 7,236,658,205.76/98,143.52
  6. Step 6: Final answer
    x = 73,735.47

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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.