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Finding the Fourth Proportional to 76,495.70, 114,743.55 and 68,719.70

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Solution

The fourth proportional to 76,495.70, 114,743.55 and 68,719.70 is: 103,079.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,495.70 : 114,743.55 = 68,719.70 : x
  2. Step 2: Convert to fraction form
    76,495.70/114,743.55 = 68,719.70/x
  3. Step 3: Cross multiply
    76,495.70x = 114,743.55 × 68,719.70
  4. Step 4: Simplify right side
    76,495.70x = 7,885,142,332.94
  5. Step 5: Solve for x
    x = 7,885,142,332.94/76,495.70
  6. Step 6: Final answer
    x = 103,079.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.