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Finding the Fourth Proportional to 77,840.38, 107,378.22 and 47,640.34

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Solution

The fourth proportional to 77,840.38, 107,378.22 and 47,640.34 is: 65,718.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,840.38 : 107,378.22 = 47,640.34 : x
  2. Step 2: Convert to fraction form
    77,840.38/107,378.22 = 47,640.34/x
  3. Step 3: Cross multiply
    77,840.38x = 107,378.22 × 47,640.34
  4. Step 4: Simplify right side
    77,840.38x = 5,115,534,909.39
  5. Step 5: Solve for x
    x = 5,115,534,909.39/77,840.38
  6. Step 6: Final answer
    x = 65,718.27

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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.