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Finding the Fourth Proportional to 102,099, 140,896.44 and 56,775.72

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Solution

The fourth proportional to 102,099, 140,896.44 and 56,775.72 is: 78,350.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,099 : 140,896.44 = 56,775.72 : x
  2. Step 2: Convert to fraction form
    102,099/140,896.44 = 56,775.72/x
  3. Step 3: Cross multiply
    102,099x = 140,896.44 × 56,775.72
  4. Step 4: Simplify right side
    102,099x = 7,999,496,826.44
  5. Step 5: Solve for x
    x = 7,999,496,826.44/102,099
  6. Step 6: Final answer
    x = 78,350.39

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1.5x scale

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.