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Finding the Fourth Proportional to 247,238.78, 370,735.47 and 78,737.14

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Solution

The fourth proportional to 247,238.78, 370,735.47 and 78,737.14 is: 118,066.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,238.78 : 370,735.47 = 78,737.14 : x
  2. Step 2: Convert to fraction form
    247,238.78/370,735.47 = 78,737.14/x
  3. Step 3: Cross multiply
    247,238.78x = 370,735.47 × 78,737.14
  4. Step 4: Simplify right side
    247,238.78x = 29,190,649,677.52
  5. Step 5: Solve for x
    x = 29,190,649,677.52/247,238.78
  6. Step 6: Final answer
    x = 118,066.63

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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.