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Finding the Fourth Proportional to 261,604.26, 392,639.70 and 121,441.86

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Solution

The fourth proportional to 261,604.26, 392,639.70 and 121,441.86 is: 182,271.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,604.26 : 392,639.70 = 121,441.86 : x
  2. Step 2: Convert to fraction form
    261,604.26/392,639.70 = 121,441.86/x
  3. Step 3: Cross multiply
    261,604.26x = 392,639.70 × 121,441.86
  4. Step 4: Simplify right side
    261,604.26x = 47,682,895,477.84
  5. Step 5: Solve for x
    x = 47,682,895,477.84/261,604.26
  6. Step 6: Final answer
    x = 182,271.10

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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.