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Finding the Fourth Proportional to 98,487.90, 135,879.12 and 59,738.11

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Solution

The fourth proportional to 98,487.90, 135,879.12 and 59,738.11 is: 82,417.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,487.90 : 135,879.12 = 59,738.11 : x
  2. Step 2: Convert to fraction form
    98,487.90/135,879.12 = 59,738.11/x
  3. Step 3: Cross multiply
    98,487.90x = 135,879.12 × 59,738.11
  4. Step 4: Simplify right side
    98,487.90x = 8,117,161,477.57
  5. Step 5: Solve for x
    x = 8,117,161,477.57/98,487.90
  6. Step 6: Final answer
    x = 82,417.86

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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.