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Finding the Fourth Proportional to 154,036, 212,569.68 and 83,380

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Solution

The fourth proportional to 154,036, 212,569.68 and 83,380 is: 115,064.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,036 : 212,569.68 = 83,380 : x
  2. Step 2: Convert to fraction form
    154,036/212,569.68 = 83,380/x
  3. Step 3: Cross multiply
    154,036x = 212,569.68 × 83,380
  4. Step 4: Simplify right side
    154,036x = 17,724,059,918.40
  5. Step 5: Solve for x
    x = 17,724,059,918.40/154,036
  6. Step 6: Final answer
    x = 115,064.40

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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.