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Finding the Fourth Proportional to 76,533.66, 114,800.33 and 21,129.50

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Solution

The fourth proportional to 76,533.66, 114,800.33 and 21,129.50 is: 31,694.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,533.66 : 114,800.33 = 21,129.50 : x
  2. Step 2: Convert to fraction form
    76,533.66/114,800.33 = 21,129.50/x
  3. Step 3: Cross multiply
    76,533.66x = 114,800.33 × 21,129.50
  4. Step 4: Simplify right side
    76,533.66x = 2,425,673,572.74
  5. Step 5: Solve for x
    x = 2,425,673,572.74/76,533.66
  6. Step 6: Final answer
    x = 31,694.21

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