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Finding the Fourth Proportional to 208,191, 312,295.14 and 60,447

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Solution

The fourth proportional to 208,191, 312,295.14 and 60,447 is: 90,673.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,191 : 312,295.14 = 60,447 : x
  2. Step 2: Convert to fraction form
    208,191/312,295.14 = 60,447/x
  3. Step 3: Cross multiply
    208,191x = 312,295.14 × 60,447
  4. Step 4: Simplify right side
    208,191x = 18,877,304,327.58
  5. Step 5: Solve for x
    x = 18,877,304,327.58/208,191
  6. Step 6: Final answer
    x = 90,673.01

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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.