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Finding the Fourth Proportional to 98,291.61, 135,642.11 and 53,579.61

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Solution

The fourth proportional to 98,291.61, 135,642.11 and 53,579.61 is: 73,939.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,291.61 : 135,642.11 = 53,579.61 : x
  2. Step 2: Convert to fraction form
    98,291.61/135,642.11 = 53,579.61/x
  3. Step 3: Cross multiply
    98,291.61x = 135,642.11 × 53,579.61
  4. Step 4: Simplify right side
    98,291.61x = 7,267,651,085.48
  5. Step 5: Solve for x
    x = 7,267,651,085.48/98,291.61
  6. Step 6: Final answer
    x = 73,939.69

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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.