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Finding the Fourth Proportional to 101,779.92, 140,458.54 and 56,456.44

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Solution

The fourth proportional to 101,779.92, 140,458.54 and 56,456.44 is: 77,911.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,779.92 : 140,458.54 = 56,456.44 : x
  2. Step 2: Convert to fraction form
    101,779.92/140,458.54 = 56,456.44/x
  3. Step 3: Cross multiply
    101,779.92x = 140,458.54 × 56,456.44
  4. Step 4: Simplify right side
    101,779.92x = 7,929,789,136.00
  5. Step 5: Solve for x
    x = 7,929,789,136.00/101,779.92
  6. Step 6: Final answer
    x = 77,911.14

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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.