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Finding the Fourth Proportional to 154,116, 212,680.32 and 83,460

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Solution

The fourth proportional to 154,116, 212,680.32 and 83,460 is: 115,174.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,116 : 212,680.32 = 83,460 : x
  2. Step 2: Convert to fraction form
    154,116/212,680.32 = 83,460/x
  3. Step 3: Cross multiply
    154,116x = 212,680.32 × 83,460
  4. Step 4: Simplify right side
    154,116x = 17,750,299,507.20
  5. Step 5: Solve for x
    x = 17,750,299,507.20/154,116
  6. Step 6: Final answer
    x = 115,174.93

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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.