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Finding the Fourth Proportional to 138,568.88, 191,223.64 and 77,315.60

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Solution

The fourth proportional to 138,568.88, 191,223.64 and 77,315.60 is: 106,694.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,568.88 : 191,223.64 = 77,315.60 : x
  2. Step 2: Convert to fraction form
    138,568.88/191,223.64 = 77,315.60/x
  3. Step 3: Cross multiply
    138,568.88x = 191,223.64 × 77,315.60
  4. Step 4: Simplify right side
    138,568.88x = 14,784,570,460.78
  5. Step 5: Solve for x
    x = 14,784,570,460.78/138,568.88
  6. Step 6: Final answer
    x = 106,694.74

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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.