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Finding the Fourth Proportional to 76,960, 106,222.48 and 45,139.15

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Solution

The fourth proportional to 76,960, 106,222.48 and 45,139.15 is: 62,302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,960 : 106,222.48 = 45,139.15 : x
  2. Step 2: Convert to fraction form
    76,960/106,222.48 = 45,139.15/x
  3. Step 3: Cross multiply
    76,960x = 106,222.48 × 45,139.15
  4. Step 4: Simplify right side
    76,960x = 4,794,792,458.09
  5. Step 5: Solve for x
    x = 4,794,792,458.09/76,960
  6. Step 6: Final answer
    x = 62,302.40

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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.