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Finding the Fourth Proportional to 208,485.64, 287,702.44 and 112,990.29

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Solution

The fourth proportional to 208,485.64, 287,702.44 and 112,990.29 is: 155,922.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,485.64 : 287,702.44 = 112,990.29 : x
  2. Step 2: Convert to fraction form
    208,485.64/287,702.44 = 112,990.29/x
  3. Step 3: Cross multiply
    208,485.64x = 287,702.44 × 112,990.29
  4. Step 4: Simplify right side
    208,485.64x = 32,507,582,129.31
  5. Step 5: Solve for x
    x = 32,507,582,129.31/208,485.64
  6. Step 6: Final answer
    x = 155,922.40

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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.