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Finding the Fourth Proportional to 71,415.34, 106,972.30 and 57,298.94

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Solution

The fourth proportional to 71,415.34, 106,972.30 and 57,298.94 is: 85,827.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,415.34 : 106,972.30 = 57,298.94 : x
  2. Step 2: Convert to fraction form
    71,415.34/106,972.30 = 57,298.94/x
  3. Step 3: Cross multiply
    71,415.34x = 106,972.30 × 57,298.94
  4. Step 4: Simplify right side
    71,415.34x = 6,129,399,399.36
  5. Step 5: Solve for x
    x = 6,129,399,399.36/71,415.34
  6. Step 6: Final answer
    x = 85,827.49

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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.