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Finding the Fourth Proportional to 154,024, 212,553.76 and 83,368

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Solution

The fourth proportional to 154,024, 212,553.76 and 83,368 is: 115,048.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,024 : 212,553.76 = 83,368 : x
  2. Step 2: Convert to fraction form
    154,024/212,553.76 = 83,368/x
  3. Step 3: Cross multiply
    154,024x = 212,553.76 × 83,368
  4. Step 4: Simplify right side
    154,024x = 17,720,181,863.68
  5. Step 5: Solve for x
    x = 17,720,181,863.68/154,024
  6. Step 6: Final answer
    x = 115,048.19

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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.