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Finding the Fourth Proportional to 208,294.59, 287,365.14 and 121,065.18

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Solution

The fourth proportional to 208,294.59, 287,365.14 and 121,065.18 is: 167,022.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,294.59 : 287,365.14 = 121,065.18 : x
  2. Step 2: Convert to fraction form
    208,294.59/287,365.14 = 121,065.18/x
  3. Step 3: Cross multiply
    208,294.59x = 287,365.14 × 121,065.18
  4. Step 4: Simplify right side
    208,294.59x = 34,789,912,399.83
  5. Step 5: Solve for x
    x = 34,789,912,399.83/208,294.59
  6. Step 6: Final answer
    x = 167,022.64

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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.