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Finding the Fourth Proportional to 77,778.32, 107,342.13 and 47,583.74

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Solution

The fourth proportional to 77,778.32, 107,342.13 and 47,583.74 is: 65,670.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,778.32 : 107,342.13 = 47,583.74 : x
  2. Step 2: Convert to fraction form
    77,778.32/107,342.13 = 47,583.74/x
  3. Step 3: Cross multiply
    77,778.32x = 107,342.13 × 47,583.74
  4. Step 4: Simplify right side
    77,778.32x = 5,107,740,004.97
  5. Step 5: Solve for x
    x = 5,107,740,004.97/77,778.32
  6. Step 6: Final answer
    x = 65,670.49

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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.