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Finding the Fourth Proportional to 208,160.84, 312,252.30 and 66,017.31

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Solution

The fourth proportional to 208,160.84, 312,252.30 and 66,017.31 is: 99,029.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,160.84 : 312,252.30 = 66,017.31 : x
  2. Step 2: Convert to fraction form
    208,160.84/312,252.30 = 66,017.31/x
  3. Step 3: Cross multiply
    208,160.84x = 312,252.30 × 66,017.31
  4. Step 4: Simplify right side
    208,160.84x = 20,614,056,887.31
  5. Step 5: Solve for x
    x = 20,614,056,887.31/208,160.84
  6. Step 6: Final answer
    x = 99,029.47

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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.