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Finding the Fourth Proportional to 57,099.70, 78,745.52 and 49,030.81

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Solution

The fourth proportional to 57,099.70, 78,745.52 and 49,030.81 is: 67,617.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,099.70 : 78,745.52 = 49,030.81 : x
  2. Step 2: Convert to fraction form
    57,099.70/78,745.52 = 49,030.81/x
  3. Step 3: Cross multiply
    57,099.70x = 78,745.52 × 49,030.81
  4. Step 4: Simplify right side
    57,099.70x = 3,860,956,581.18
  5. Step 5: Solve for x
    x = 3,860,956,581.18/57,099.70
  6. Step 6: Final answer
    x = 67,617.81

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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.