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Finding the Fourth Proportional to 121,699.40, 182,617.83 and 65,538.32

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Solution

The fourth proportional to 121,699.40, 182,617.83 and 65,538.32 is: 98,344.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,699.40 : 182,617.83 = 65,538.32 : x
  2. Step 2: Convert to fraction form
    121,699.40/182,617.83 = 65,538.32/x
  3. Step 3: Cross multiply
    121,699.40x = 182,617.83 × 65,538.32
  4. Step 4: Simplify right side
    121,699.40x = 11,968,465,780.25
  5. Step 5: Solve for x
    x = 11,968,465,780.25/121,699.40
  6. Step 6: Final answer
    x = 98,344.49

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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.