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Finding the Fourth Proportional to 98,540.04, 135,985.38 and 53,828.04

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Solution

The fourth proportional to 98,540.04, 135,985.38 and 53,828.04 is: 74,282.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,540.04 : 135,985.38 = 53,828.04 : x
  2. Step 2: Convert to fraction form
    98,540.04/135,985.38 = 53,828.04/x
  3. Step 3: Cross multiply
    98,540.04x = 135,985.38 × 53,828.04
  4. Step 4: Simplify right side
    98,540.04x = 7,319,826,474.06
  5. Step 5: Solve for x
    x = 7,319,826,474.06/98,540.04
  6. Step 6: Final answer
    x = 74,282.76

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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.