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Finding the Fourth Proportional to 260,668.86, 390,736.26 and 148,108.86

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Solution

The fourth proportional to 260,668.86, 390,736.26 and 148,108.86 is: 222,011.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,668.86 : 390,736.26 = 148,108.86 : x
  2. Step 2: Convert to fraction form
    260,668.86/390,736.26 = 148,108.86/x
  3. Step 3: Cross multiply
    260,668.86x = 390,736.26 × 148,108.86
  4. Step 4: Simplify right side
    260,668.86x = 57,871,502,029.26
  5. Step 5: Solve for x
    x = 57,871,502,029.26/260,668.86
  6. Step 6: Final answer
    x = 222,011.57

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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.