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Finding the Fourth Proportional to 76,976, 114,868.32 and 68,681.60

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Solution

The fourth proportional to 76,976, 114,868.32 and 68,681.60 is: 102,490.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,976 : 114,868.32 = 68,681.60 : x
  2. Step 2: Convert to fraction form
    76,976/114,868.32 = 68,681.60/x
  3. Step 3: Cross multiply
    76,976x = 114,868.32 × 68,681.60
  4. Step 4: Simplify right side
    76,976x = 7,889,340,006.91
  5. Step 5: Solve for x
    x = 7,889,340,006.91/76,976
  6. Step 6: Final answer
    x = 102,490.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.