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Finding the Fourth Proportional to 154,264, 212,884.32 and 83,608

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Solution

The fourth proportional to 154,264, 212,884.32 and 83,608 is: 115,379.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,264 : 212,884.32 = 83,608 : x
  2. Step 2: Convert to fraction form
    154,264/212,884.32 = 83,608/x
  3. Step 3: Cross multiply
    154,264x = 212,884.32 × 83,608
  4. Step 4: Simplify right side
    154,264x = 17,798,832,226.56
  5. Step 5: Solve for x
    x = 17,798,832,226.56/154,264
  6. Step 6: Final answer
    x = 115,379.04

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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.