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Finding the Fourth Proportional to 71,283.34, 106,935.81 and 51,709.60

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Solution

The fourth proportional to 71,283.34, 106,935.81 and 51,709.60 is: 77,572.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,283.34 : 106,935.81 = 51,709.60 : x
  2. Step 2: Convert to fraction form
    71,283.34/106,935.81 = 51,709.60/x
  3. Step 3: Cross multiply
    71,283.34x = 106,935.81 × 51,709.60
  4. Step 4: Simplify right side
    71,283.34x = 5,529,607,960.78
  5. Step 5: Solve for x
    x = 5,529,607,960.78/71,283.34
  6. Step 6: Final answer
    x = 77,572.23

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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.