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Finding the Fourth Proportional to 91,894.32, 126,792 and 53,642.88

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Solution

The fourth proportional to 91,894.32, 126,792 and 53,642.88 is: 74,014.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,894.32 : 126,792 = 53,642.88 : x
  2. Step 2: Convert to fraction form
    91,894.32/126,792 = 53,642.88/x
  3. Step 3: Cross multiply
    91,894.32x = 126,792 × 53,642.88
  4. Step 4: Simplify right side
    91,894.32x = 6,801,488,040.96
  5. Step 5: Solve for x
    x = 6,801,488,040.96/91,894.32
  6. Step 6: Final answer
    x = 74,014.24

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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.