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Finding the Fourth Proportional to 98,634, 136,115.40 and 53,922

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Solution

The fourth proportional to 98,634, 136,115.40 and 53,922 is: 74,412.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,634 : 136,115.40 = 53,922 : x
  2. Step 2: Convert to fraction form
    98,634/136,115.40 = 53,922/x
  3. Step 3: Cross multiply
    98,634x = 136,115.40 × 53,922
  4. Step 4: Simplify right side
    98,634x = 7,339,614,598.80
  5. Step 5: Solve for x
    x = 7,339,614,598.80/98,634
  6. Step 6: Final answer
    x = 74,412.62

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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.