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Finding the Fourth Proportional to 67,640, 101,460.32 and 23,864

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Solution

The fourth proportional to 67,640, 101,460.32 and 23,864 is: 35,796.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,640 : 101,460.32 = 23,864 : x
  2. Step 2: Convert to fraction form
    67,640/101,460.32 = 23,864/x
  3. Step 3: Cross multiply
    67,640x = 101,460.32 × 23,864
  4. Step 4: Simplify right side
    67,640x = 2,421,249,076.48
  5. Step 5: Solve for x
    x = 2,421,249,076.48/67,640
  6. Step 6: Final answer
    x = 35,796.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.