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Finding the Fourth Proportional to 77,392.26, 106,820.37 and 47,194.25

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Solution

The fourth proportional to 77,392.26, 106,820.37 and 47,194.25 is: 65,139.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,392.26 : 106,820.37 = 47,194.25 : x
  2. Step 2: Convert to fraction form
    77,392.26/106,820.37 = 47,194.25/x
  3. Step 3: Cross multiply
    77,392.26x = 106,820.37 × 47,194.25
  4. Step 4: Simplify right side
    77,392.26x = 5,041,306,712.77
  5. Step 5: Solve for x
    x = 5,041,306,712.77/77,392.26
  6. Step 6: Final answer
    x = 65,139.68

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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.