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Finding the Fourth Proportional to 255,025.82, 382,539.41 and 121,875.82

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Solution

The fourth proportional to 255,025.82, 382,539.41 and 121,875.82 is: 182,814.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,025.82 : 382,539.41 = 121,875.82 : x
  2. Step 2: Convert to fraction form
    255,025.82/382,539.41 = 121,875.82/x
  3. Step 3: Cross multiply
    255,025.82x = 382,539.41 × 121,875.82
  4. Step 4: Simplify right side
    255,025.82x = 46,622,304,276.07
  5. Step 5: Solve for x
    x = 46,622,304,276.07/255,025.82
  6. Step 6: Final answer
    x = 182,814.05

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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.