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Finding the Fourth Proportional to 78,007.50, 107,650.62 and 42,197.67

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Solution

The fourth proportional to 78,007.50, 107,650.62 and 42,197.67 is: 58,232.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,007.50 : 107,650.62 = 42,197.67 : x
  2. Step 2: Convert to fraction form
    78,007.50/107,650.62 = 42,197.67/x
  3. Step 3: Cross multiply
    78,007.50x = 107,650.62 × 42,197.67
  4. Step 4: Simplify right side
    78,007.50x = 4,542,605,338.06
  5. Step 5: Solve for x
    x = 4,542,605,338.06/78,007.50
  6. Step 6: Final answer
    x = 58,232.93

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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.