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Finding the Fourth Proportional to 131,805.20, 197,707.80 and 82,038.80

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Solution

The fourth proportional to 131,805.20, 197,707.80 and 82,038.80 is: 123,058.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,805.20 : 197,707.80 = 82,038.80 : x
  2. Step 2: Convert to fraction form
    131,805.20/197,707.80 = 82,038.80/x
  3. Step 3: Cross multiply
    131,805.20x = 197,707.80 × 82,038.80
  4. Step 4: Simplify right side
    131,805.20x = 16,219,710,662.64
  5. Step 5: Solve for x
    x = 16,219,710,662.64/131,805.20
  6. Step 6: Final answer
    x = 123,058.20

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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.