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Finding the Fourth Proportional to 61,311, 91,966.50 and 17,535

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Solution

The fourth proportional to 61,311, 91,966.50 and 17,535 is: 26,302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,311 : 91,966.50 = 17,535 : x
  2. Step 2: Convert to fraction form
    61,311/91,966.50 = 17,535/x
  3. Step 3: Cross multiply
    61,311x = 91,966.50 × 17,535
  4. Step 4: Simplify right side
    61,311x = 1,612,632,577.50
  5. Step 5: Solve for x
    x = 1,612,632,577.50/61,311
  6. Step 6: Final answer
    x = 26,302.50

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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.