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Finding the Fourth Proportional to 207,983.90, 312,010.35 and 73,012.98

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Solution

The fourth proportional to 207,983.90, 312,010.35 and 73,012.98 is: 109,531.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,983.90 : 312,010.35 = 73,012.98 : x
  2. Step 2: Convert to fraction form
    207,983.90/312,010.35 = 73,012.98/x
  3. Step 3: Cross multiply
    207,983.90x = 312,010.35 × 73,012.98
  4. Step 4: Simplify right side
    207,983.90x = 22,780,805,444.34
  5. Step 5: Solve for x
    x = 22,780,805,444.34/207,983.90
  6. Step 6: Final answer
    x = 109,531.58

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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.