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Finding the Fourth Proportional to 81,980.82, 122,988.51 and 26,572.50

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Solution

The fourth proportional to 81,980.82, 122,988.51 and 26,572.50 is: 39,864.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,980.82 : 122,988.51 = 26,572.50 : x
  2. Step 2: Convert to fraction form
    81,980.82/122,988.51 = 26,572.50/x
  3. Step 3: Cross multiply
    81,980.82x = 122,988.51 × 26,572.50
  4. Step 4: Simplify right side
    81,980.82x = 3,268,112,181.98
  5. Step 5: Solve for x
    x = 3,268,112,181.98/81,980.82
  6. Step 6: Final answer
    x = 39,864.35

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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.