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Finding the Fourth Proportional to 81,865, 122,817.66 and 26,461

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Solution

The fourth proportional to 81,865, 122,817.66 and 26,461 is: 39,698.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,865 : 122,817.66 = 26,461 : x
  2. Step 2: Convert to fraction form
    81,865/122,817.66 = 26,461/x
  3. Step 3: Cross multiply
    81,865x = 122,817.66 × 26,461
  4. Step 4: Simplify right side
    81,865x = 3,249,878,101.26
  5. Step 5: Solve for x
    x = 3,249,878,101.26/81,865
  6. Step 6: Final answer
    x = 39,698.02

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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.