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Finding the Fourth Proportional to 77,163.67, 115,750.02 and 29,779.01

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Solution

The fourth proportional to 77,163.67, 115,750.02 and 29,779.01 is: 44,670.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,163.67 : 115,750.02 = 29,779.01 : x
  2. Step 2: Convert to fraction form
    77,163.67/115,750.02 = 29,779.01/x
  3. Step 3: Cross multiply
    77,163.67x = 115,750.02 × 29,779.01
  4. Step 4: Simplify right side
    77,163.67x = 3,446,920,349.88
  5. Step 5: Solve for x
    x = 3,446,920,349.88/77,163.67
  6. Step 6: Final answer
    x = 44,670.25

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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.