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Finding the Fourth Proportional to 189,702.51, 261,786.28 and 103,659.60

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Solution

The fourth proportional to 189,702.51, 261,786.28 and 103,659.60 is: 143,048.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,702.51 : 261,786.28 = 103,659.60 : x
  2. Step 2: Convert to fraction form
    189,702.51/261,786.28 = 103,659.60/x
  3. Step 3: Cross multiply
    189,702.51x = 261,786.28 × 103,659.60
  4. Step 4: Simplify right side
    189,702.51x = 27,136,661,070.29
  5. Step 5: Solve for x
    x = 27,136,661,070.29/189,702.51
  6. Step 6: Final answer
    x = 143,048.51

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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.