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Finding the Fourth Proportional to 261,468.19, 392,150.64 and 71,879.63

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Solution

The fourth proportional to 261,468.19, 392,150.64 and 71,879.63 is: 107,805.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,468.19 : 392,150.64 = 71,879.63 : x
  2. Step 2: Convert to fraction form
    261,468.19/392,150.64 = 71,879.63/x
  3. Step 3: Cross multiply
    261,468.19x = 392,150.64 × 71,879.63
  4. Step 4: Simplify right side
    261,468.19x = 28,187,642,907.46
  5. Step 5: Solve for x
    x = 28,187,642,907.46/261,468.19
  6. Step 6: Final answer
    x = 107,805.25

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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.