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Finding the Fourth Proportional to 208,449, 287,659.62 and 119,025

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Solution

The fourth proportional to 208,449, 287,659.62 and 119,025 is: 164,254.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,449 : 287,659.62 = 119,025 : x
  2. Step 2: Convert to fraction form
    208,449/287,659.62 = 119,025/x
  3. Step 3: Cross multiply
    208,449x = 287,659.62 × 119,025
  4. Step 4: Simplify right side
    208,449x = 34,238,686,270.50
  5. Step 5: Solve for x
    x = 34,238,686,270.50/208,449
  6. Step 6: Final answer
    x = 164,254.50

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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.