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Finding the Fourth Proportional to 208,382.22, 287,567.18 and 112,889.30

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Solution

The fourth proportional to 208,382.22, 287,567.18 and 112,889.30 is: 155,787.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,382.22 : 287,567.18 = 112,889.30 : x
  2. Step 2: Convert to fraction form
    208,382.22/287,567.18 = 112,889.30/x
  3. Step 3: Cross multiply
    208,382.22x = 287,567.18 × 112,889.30
  4. Step 4: Simplify right side
    208,382.22x = 32,463,257,653.17
  5. Step 5: Solve for x
    x = 32,463,257,653.17/208,382.22
  6. Step 6: Final answer
    x = 155,787.08

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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.