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Finding the Fourth Proportional to 121,698.15, 182,615.96 and 65,537.07

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Solution

The fourth proportional to 121,698.15, 182,615.96 and 65,537.07 is: 98,342.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,698.15 : 182,615.96 = 65,537.07 : x
  2. Step 2: Convert to fraction form
    121,698.15/182,615.96 = 65,537.07/x
  3. Step 3: Cross multiply
    121,698.15x = 182,615.96 × 65,537.07
  4. Step 4: Simplify right side
    121,698.15x = 11,968,114,625.95
  5. Step 5: Solve for x
    x = 11,968,114,625.95/121,698.15
  6. Step 6: Final answer
    x = 98,342.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.