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Finding the Fourth Proportional to 98,153.64, 135,457.44 and 57,891

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Solution

The fourth proportional to 98,153.64, 135,457.44 and 57,891 is: 79,892.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,153.64 : 135,457.44 = 57,891 : x
  2. Step 2: Convert to fraction form
    98,153.64/135,457.44 = 57,891/x
  3. Step 3: Cross multiply
    98,153.64x = 135,457.44 × 57,891
  4. Step 4: Simplify right side
    98,153.64x = 7,841,766,659.04
  5. Step 5: Solve for x
    x = 7,841,766,659.04/98,153.64
  6. Step 6: Final answer
    x = 79,892.77

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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.