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Finding the Fourth Proportional to 154,096, 212,652.48 and 83,440

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Solution

The fourth proportional to 154,096, 212,652.48 and 83,440 is: 115,147.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,096 : 212,652.48 = 83,440 : x
  2. Step 2: Convert to fraction form
    154,096/212,652.48 = 83,440/x
  3. Step 3: Cross multiply
    154,096x = 212,652.48 × 83,440
  4. Step 4: Simplify right side
    154,096x = 17,743,722,931.20
  5. Step 5: Solve for x
    x = 17,743,722,931.20/154,096
  6. Step 6: Final answer
    x = 115,147.20

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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.