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Finding the Fourth Proportional to 261,611.26, 392,650.17 and 121,448.86

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Solution

The fourth proportional to 261,611.26, 392,650.17 and 121,448.86 is: 182,281.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,611.26 : 392,650.17 = 121,448.86 : x
  2. Step 2: Convert to fraction form
    261,611.26/392,650.17 = 121,448.86/x
  3. Step 3: Cross multiply
    261,611.26x = 392,650.17 × 121,448.86
  4. Step 4: Simplify right side
    261,611.26x = 47,686,915,525.31
  5. Step 5: Solve for x
    x = 47,686,915,525.31/261,611.26
  6. Step 6: Final answer
    x = 182,281.59

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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.