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Finding the Fourth Proportional to 261,891.42, 361,398.50 and 153,005.86

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Solution

The fourth proportional to 261,891.42, 361,398.50 and 153,005.86 is: 211,141.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,891.42 : 361,398.50 = 153,005.86 : x
  2. Step 2: Convert to fraction form
    261,891.42/361,398.50 = 153,005.86/x
  3. Step 3: Cross multiply
    261,891.42x = 361,398.50 × 153,005.86
  4. Step 4: Simplify right side
    261,891.42x = 55,296,088,295.21
  5. Step 5: Solve for x
    x = 55,296,088,295.21/261,891.42
  6. Step 6: Final answer
    x = 211,141.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.