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Finding the Fourth Proportional to 76,662.81, 114,411.28 and 71,586.77

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Solution

The fourth proportional to 76,662.81, 114,411.28 and 71,586.77 is: 106,835.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,662.81 : 114,411.28 = 71,586.77 : x
  2. Step 2: Convert to fraction form
    76,662.81/114,411.28 = 71,586.77/x
  3. Step 3: Cross multiply
    76,662.81x = 114,411.28 × 71,586.77
  4. Step 4: Simplify right side
    76,662.81x = 8,190,333,235.74
  5. Step 5: Solve for x
    x = 8,190,333,235.74/76,662.81
  6. Step 6: Final answer
    x = 106,835.81

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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.