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Finding the Fourth Proportional to 112,493.96, 169,003.38 and 65,779.64

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Solution

The fourth proportional to 112,493.96, 169,003.38 and 65,779.64 is: 98,822.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,493.96 : 169,003.38 = 65,779.64 : x
  2. Step 2: Convert to fraction form
    112,493.96/169,003.38 = 65,779.64/x
  3. Step 3: Cross multiply
    112,493.96x = 169,003.38 × 65,779.64
  4. Step 4: Simplify right side
    112,493.96x = 11,116,981,495.18
  5. Step 5: Solve for x
    x = 11,116,981,495.18/112,493.96
  6. Step 6: Final answer
    x = 98,822.92

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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.