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Finding the Fourth Proportional to 208,410.45, 287,606.70 and 112,917.08

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Solution

The fourth proportional to 208,410.45, 287,606.70 and 112,917.08 is: 155,825.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,410.45 : 287,606.70 = 112,917.08 : x
  2. Step 2: Convert to fraction form
    208,410.45/287,606.70 = 112,917.08/x
  3. Step 3: Cross multiply
    208,410.45x = 287,606.70 × 112,917.08
  4. Step 4: Simplify right side
    208,410.45x = 32,475,707,314.40
  5. Step 5: Solve for x
    x = 32,475,707,314.40/208,410.45
  6. Step 6: Final answer
    x = 155,825.71

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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.