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Finding the Fourth Proportional to 98,694, 136,198.80 and 53,982

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Solution

The fourth proportional to 98,694, 136,198.80 and 53,982 is: 74,495.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,694 : 136,198.80 = 53,982 : x
  2. Step 2: Convert to fraction form
    98,694/136,198.80 = 53,982/x
  3. Step 3: Cross multiply
    98,694x = 136,198.80 × 53,982
  4. Step 4: Simplify right side
    98,694x = 7,352,283,621.60
  5. Step 5: Solve for x
    x = 7,352,283,621.60/98,694
  6. Step 6: Final answer
    x = 74,495.75

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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.