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Finding the Fourth Proportional to 208,116.09, 287,201.01 and 112,622.82

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Solution

The fourth proportional to 208,116.09, 287,201.01 and 112,622.82 is: 155,419.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,116.09 : 287,201.01 = 112,622.82 : x
  2. Step 2: Convert to fraction form
    208,116.09/287,201.01 = 112,622.82/x
  3. Step 3: Cross multiply
    208,116.09x = 287,201.01 × 112,622.82
  4. Step 4: Simplify right side
    208,116.09x = 32,345,387,653.05
  5. Step 5: Solve for x
    x = 32,345,387,653.05/208,116.09
  6. Step 6: Final answer
    x = 155,419.93

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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.