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Finding the Fourth Proportional to 100,779.78, 139,077.36 and 55,462.98

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Solution

The fourth proportional to 100,779.78, 139,077.36 and 55,462.98 is: 76,539.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,779.78 : 139,077.36 = 55,462.98 : x
  2. Step 2: Convert to fraction form
    100,779.78/139,077.36 = 55,462.98/x
  3. Step 3: Cross multiply
    100,779.78x = 139,077.36 × 55,462.98
  4. Step 4: Simplify right side
    100,779.78x = 7,713,644,836.13
  5. Step 5: Solve for x
    x = 7,713,644,836.13/100,779.78
  6. Step 6: Final answer
    x = 76,539.61

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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.