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Finding the Fourth Proportional to 206,897.51, 310,188.90 and 106,993.98

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Solution

The fourth proportional to 206,897.51, 310,188.90 and 106,993.98 is: 160,409.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,897.51 : 310,188.90 = 106,993.98 : x
  2. Step 2: Convert to fraction form
    206,897.51/310,188.90 = 106,993.98/x
  3. Step 3: Cross multiply
    206,897.51x = 310,188.90 × 106,993.98
  4. Step 4: Simplify right side
    206,897.51x = 33,188,344,962.82
  5. Step 5: Solve for x
    x = 33,188,344,962.82/206,897.51
  6. Step 6: Final answer
    x = 160,409.59

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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.