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Finding the Fourth Proportional to 78,083.70, 107,755.47 and 42,273.69

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Solution

The fourth proportional to 78,083.70, 107,755.47 and 42,273.69 is: 58,337.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,083.70 : 107,755.47 = 42,273.69 : x
  2. Step 2: Convert to fraction form
    78,083.70/107,755.47 = 42,273.69/x
  3. Step 3: Cross multiply
    78,083.70x = 107,755.47 × 42,273.69
  4. Step 4: Simplify right side
    78,083.70x = 4,555,221,334.58
  5. Step 5: Solve for x
    x = 4,555,221,334.58/78,083.70
  6. Step 6: Final answer
    x = 58,337.67

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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.