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Finding the Fourth Proportional to 208,201.56, 287,316.86 and 112,707.56

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Solution

The fourth proportional to 208,201.56, 287,316.86 and 112,707.56 is: 155,535.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,201.56 : 287,316.86 = 112,707.56 : x
  2. Step 2: Convert to fraction form
    208,201.56/287,316.86 = 112,707.56/x
  3. Step 3: Cross multiply
    208,201.56x = 287,316.86 × 112,707.56
  4. Step 4: Simplify right side
    208,201.56x = 32,382,782,392.22
  5. Step 5: Solve for x
    x = 32,382,782,392.22/208,201.56
  6. Step 6: Final answer
    x = 155,535.74

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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.