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Finding the Fourth Proportional to 208,362.88, 287,526.57 and 117,722.65

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Solution

The fourth proportional to 208,362.88, 287,526.57 and 117,722.65 is: 162,449.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,362.88 : 287,526.57 = 117,722.65 : x
  2. Step 2: Convert to fraction form
    208,362.88/287,526.57 = 117,722.65/x
  3. Step 3: Cross multiply
    208,362.88x = 287,526.57 × 117,722.65
  4. Step 4: Simplify right side
    208,362.88x = 33,848,389,765.81
  5. Step 5: Solve for x
    x = 33,848,389,765.81/208,362.88
  6. Step 6: Final answer
    x = 162,449.23

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1.5x scale

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.