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Finding the Fourth Proportional to 78,592.85, 108,458.13 and 42,783.12

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Solution

The fourth proportional to 78,592.85, 108,458.13 and 42,783.12 is: 59,040.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,592.85 : 108,458.13 = 42,783.12 : x
  2. Step 2: Convert to fraction form
    78,592.85/108,458.13 = 42,783.12/x
  3. Step 3: Cross multiply
    78,592.85x = 108,458.13 × 42,783.12
  4. Step 4: Simplify right side
    78,592.85x = 4,640,177,190.77
  5. Step 5: Solve for x
    x = 4,640,177,190.77/78,592.85
  6. Step 6: Final answer
    x = 59,040.71

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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.