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Finding the Fourth Proportional to 188,702.63, 260,415.09 and 103,825.16

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Solution

The fourth proportional to 188,702.63, 260,415.09 and 103,825.16 is: 143,281.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,702.63 : 260,415.09 = 103,825.16 : x
  2. Step 2: Convert to fraction form
    188,702.63/260,415.09 = 103,825.16/x
  3. Step 3: Cross multiply
    188,702.63x = 260,415.09 × 103,825.16
  4. Step 4: Simplify right side
    188,702.63x = 27,037,637,083.59
  5. Step 5: Solve for x
    x = 27,037,637,083.59/188,702.63
  6. Step 6: Final answer
    x = 143,281.72

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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.