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Finding the Fourth Proportional to 261,361, 392,041.50 and 113,617

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Solution

The fourth proportional to 261,361, 392,041.50 and 113,617 is: 170,425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,361 : 392,041.50 = 113,617 : x
  2. Step 2: Convert to fraction form
    261,361/392,041.50 = 113,617/x
  3. Step 3: Cross multiply
    261,361x = 392,041.50 × 113,617
  4. Step 4: Simplify right side
    261,361x = 44,542,579,105.50
  5. Step 5: Solve for x
    x = 44,542,579,105.50/261,361
  6. Step 6: Final answer
    x = 170,425.50

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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.