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Finding the Fourth Proportional to 208,009.44, 287,066.57 and 117,332.31

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Solution

The fourth proportional to 208,009.44, 287,066.57 and 117,332.31 is: 161,926.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,009.44 : 287,066.57 = 117,332.31 : x
  2. Step 2: Convert to fraction form
    208,009.44/287,066.57 = 117,332.31/x
  3. Step 3: Cross multiply
    208,009.44x = 287,066.57 × 117,332.31
  4. Step 4: Simplify right side
    208,009.44x = 33,682,183,195.22
  5. Step 5: Solve for x
    x = 33,682,183,195.22/208,009.44
  6. Step 6: Final answer
    x = 161,926.22

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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.