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Finding the Fourth Proportional to 98,541, 135,986.76 and 53,829

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Solution

The fourth proportional to 98,541, 135,986.76 and 53,829 is: 74,284.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,541 : 135,986.76 = 53,829 : x
  2. Step 2: Convert to fraction form
    98,541/135,986.76 = 53,829/x
  3. Step 3: Cross multiply
    98,541x = 135,986.76 × 53,829
  4. Step 4: Simplify right side
    98,541x = 7,320,031,304.04
  5. Step 5: Solve for x
    x = 7,320,031,304.04/98,541
  6. Step 6: Final answer
    x = 74,284.12

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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.