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Finding the Fourth Proportional to 76,751.64, 114,564.53 and 71,123.17

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Solution

The fourth proportional to 76,751.64, 114,564.53 and 71,123.17 is: 106,163.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,751.64 : 114,564.53 = 71,123.17 : x
  2. Step 2: Convert to fraction form
    76,751.64/114,564.53 = 71,123.17/x
  3. Step 3: Cross multiply
    76,751.64x = 114,564.53 × 71,123.17
  4. Step 4: Simplify right side
    76,751.64x = 8,148,192,543.16
  5. Step 5: Solve for x
    x = 8,148,192,543.16/76,751.64
  6. Step 6: Final answer
    x = 106,163.11

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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.