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Finding the Fourth Proportional to 77,619.76, 107,126.86 and 47,422.52

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Solution

The fourth proportional to 77,619.76, 107,126.86 and 47,422.52 is: 65,450.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,619.76 : 107,126.86 = 47,422.52 : x
  2. Step 2: Convert to fraction form
    77,619.76/107,126.86 = 47,422.52/x
  3. Step 3: Cross multiply
    77,619.76x = 107,126.86 × 47,422.52
  4. Step 4: Simplify right side
    77,619.76x = 5,080,225,660.89
  5. Step 5: Solve for x
    x = 5,080,225,660.89/77,619.76
  6. Step 6: Final answer
    x = 65,450.16

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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.