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Finding the Fourth Proportional to 154,120, 212,685.84 and 83,464

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Solution

The fourth proportional to 154,120, 212,685.84 and 83,464 is: 115,180.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,120 : 212,685.84 = 83,464 : x
  2. Step 2: Convert to fraction form
    154,120/212,685.84 = 83,464/x
  3. Step 3: Cross multiply
    154,120x = 212,685.84 × 83,464
  4. Step 4: Simplify right side
    154,120x = 17,751,610,949.76
  5. Step 5: Solve for x
    x = 17,751,610,949.76/154,120
  6. Step 6: Final answer
    x = 115,180.45

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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.