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Finding the Fourth Proportional to 206,907.70, 310,361.55 and 112,429.30

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Solution

The fourth proportional to 206,907.70, 310,361.55 and 112,429.30 is: 168,643.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,907.70 : 310,361.55 = 112,429.30 : x
  2. Step 2: Convert to fraction form
    206,907.70/310,361.55 = 112,429.30/x
  3. Step 3: Cross multiply
    206,907.70x = 310,361.55 × 112,429.30
  4. Step 4: Simplify right side
    206,907.70x = 34,893,731,813.42
  5. Step 5: Solve for x
    x = 34,893,731,813.42/206,907.70
  6. Step 6: Final answer
    x = 168,643.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.