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Finding the Fourth Proportional to 66,890, 100,381.08 and 23,114

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Solution

The fourth proportional to 66,890, 100,381.08 and 23,114 is: 34,686.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,890 : 100,381.08 = 23,114 : x
  2. Step 2: Convert to fraction form
    66,890/100,381.08 = 23,114/x
  3. Step 3: Cross multiply
    66,890x = 100,381.08 × 23,114
  4. Step 4: Simplify right side
    66,890x = 2,320,208,283.12
  5. Step 5: Solve for x
    x = 2,320,208,283.12/66,890
  6. Step 6: Final answer
    x = 34,686.92

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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.