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Finding the Fourth Proportional to 153,869, 212,339.86 and 83,213

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Solution

The fourth proportional to 153,869, 212,339.86 and 83,213 is: 114,834.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,869 : 212,339.86 = 83,213 : x
  2. Step 2: Convert to fraction form
    153,869/212,339.86 = 83,213/x
  3. Step 3: Cross multiply
    153,869x = 212,339.86 × 83,213
  4. Step 4: Simplify right side
    153,869x = 17,669,436,770.18
  5. Step 5: Solve for x
    x = 17,669,436,770.18/153,869
  6. Step 6: Final answer
    x = 114,834.29

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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.