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Finding the Fourth Proportional to 78,546.99, 108,391.60 and 42,737.14

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Solution

The fourth proportional to 78,546.99, 108,391.60 and 42,737.14 is: 58,975.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,546.99 : 108,391.60 = 42,737.14 : x
  2. Step 2: Convert to fraction form
    78,546.99/108,391.60 = 42,737.14/x
  3. Step 3: Cross multiply
    78,546.99x = 108,391.60 × 42,737.14
  4. Step 4: Simplify right side
    78,546.99x = 4,632,346,984.02
  5. Step 5: Solve for x
    x = 4,632,346,984.02/78,546.99
  6. Step 6: Final answer
    x = 58,975.49

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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.