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Finding the Fourth Proportional to 98,454.29, 135,866.57 and 55,433.77

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Solution

The fourth proportional to 98,454.29, 135,866.57 and 55,433.77 is: 76,498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,454.29 : 135,866.57 = 55,433.77 : x
  2. Step 2: Convert to fraction form
    98,454.29/135,866.57 = 55,433.77/x
  3. Step 3: Cross multiply
    98,454.29x = 135,866.57 × 55,433.77
  4. Step 4: Simplify right side
    98,454.29x = 7,531,595,575.23
  5. Step 5: Solve for x
    x = 7,531,595,575.23/98,454.29
  6. Step 6: Final answer
    x = 76,498.40

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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.