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Finding the Fourth Proportional to 62,982, 86,907.60 and 36,123.12

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Solution

The fourth proportional to 62,982, 86,907.60 and 36,123.12 is: 49,845.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,982 : 86,907.60 = 36,123.12 : x
  2. Step 2: Convert to fraction form
    62,982/86,907.60 = 36,123.12/x
  3. Step 3: Cross multiply
    62,982x = 86,907.60 × 36,123.12
  4. Step 4: Simplify right side
    62,982x = 3,139,373,663.71
  5. Step 5: Solve for x
    x = 3,139,373,663.71/62,982
  6. Step 6: Final answer
    x = 49,845.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.