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Finding the Fourth Proportional to 69,938, 96,515 and 38,106.08

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Solution

The fourth proportional to 69,938, 96,515 and 38,106.08 is: 52,586.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,938 : 96,515 = 38,106.08 : x
  2. Step 2: Convert to fraction form
    69,938/96,515 = 38,106.08/x
  3. Step 3: Cross multiply
    69,938x = 96,515 × 38,106.08
  4. Step 4: Simplify right side
    69,938x = 3,677,808,311.20
  5. Step 5: Solve for x
    x = 3,677,808,311.20/69,938
  6. Step 6: Final answer
    x = 52,586.70

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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.