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Finding the Fourth Proportional to 98,701.76, 136,208.85 and 53,379.75

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Solution

The fourth proportional to 98,701.76, 136,208.85 and 53,379.75 is: 73,664.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,701.76 : 136,208.85 = 53,379.75 : x
  2. Step 2: Convert to fraction form
    98,701.76/136,208.85 = 53,379.75/x
  3. Step 3: Cross multiply
    98,701.76x = 136,208.85 × 53,379.75
  4. Step 4: Simplify right side
    98,701.76x = 7,270,794,971.66
  5. Step 5: Solve for x
    x = 7,270,794,971.66/98,701.76
  6. Step 6: Final answer
    x = 73,664.29

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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.