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Finding the Fourth Proportional to 69,137.98, 103,762.34 and 31,715.68

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Solution

The fourth proportional to 69,137.98, 103,762.34 and 31,715.68 is: 47,598.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,137.98 : 103,762.34 = 31,715.68 : x
  2. Step 2: Convert to fraction form
    69,137.98/103,762.34 = 31,715.68/x
  3. Step 3: Cross multiply
    69,137.98x = 103,762.34 × 31,715.68
  4. Step 4: Simplify right side
    69,137.98x = 3,290,893,171.49
  5. Step 5: Solve for x
    x = 3,290,893,171.49/69,137.98
  6. Step 6: Final answer
    x = 47,598.92

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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.