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Finding the Fourth Proportional to 81,602.58, 122,392.35 and 26,191.38

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Solution

The fourth proportional to 81,602.58, 122,392.35 and 26,191.38 is: 39,283.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,602.58 : 122,392.35 = 26,191.38 : x
  2. Step 2: Convert to fraction form
    81,602.58/122,392.35 = 26,191.38/x
  3. Step 3: Cross multiply
    81,602.58x = 122,392.35 × 26,191.38
  4. Step 4: Simplify right side
    81,602.58x = 3,205,624,547.94
  5. Step 5: Solve for x
    x = 3,205,624,547.94/81,602.58
  6. Step 6: Final answer
    x = 39,283.37

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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.