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Finding the Fourth Proportional to 98,164.64, 135,448.64 and 57,891.04

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Solution

The fourth proportional to 98,164.64, 135,448.64 and 57,891.04 is: 79,878.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,164.64 : 135,448.64 = 57,891.04 : x
  2. Step 2: Convert to fraction form
    98,164.64/135,448.64 = 57,891.04/x
  3. Step 3: Cross multiply
    98,164.64x = 135,448.64 × 57,891.04
  4. Step 4: Simplify right side
    98,164.64x = 7,841,262,636.19
  5. Step 5: Solve for x
    x = 7,841,262,636.19/98,164.64
  6. Step 6: Final answer
    x = 79,878.69

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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.