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Finding the Fourth Proportional to 76,968.74, 106,188.76 and 45,131.47

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Solution

The fourth proportional to 76,968.74, 106,188.76 and 45,131.47 is: 62,264.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,968.74 : 106,188.76 = 45,131.47 : x
  2. Step 2: Convert to fraction form
    76,968.74/106,188.76 = 45,131.47/x
  3. Step 3: Cross multiply
    76,968.74x = 106,188.76 × 45,131.47
  4. Step 4: Simplify right side
    76,968.74x = 4,792,454,836.28
  5. Step 5: Solve for x
    x = 4,792,454,836.28/76,968.74
  6. Step 6: Final answer
    x = 62,264.95

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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.