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Finding the Fourth Proportional to 208,509.68, 287,736.36 and 123,576.32

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Solution

The fourth proportional to 208,509.68, 287,736.36 and 123,576.32 is: 170,531.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,509.68 : 287,736.36 = 123,576.32 : x
  2. Step 2: Convert to fraction form
    208,509.68/287,736.36 = 123,576.32/x
  3. Step 3: Cross multiply
    208,509.68x = 287,736.36 × 123,576.32
  4. Step 4: Simplify right side
    208,509.68x = 35,557,400,499.00
  5. Step 5: Solve for x
    x = 35,557,400,499.00/208,509.68
  6. Step 6: Final answer
    x = 170,531.17

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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.