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Finding the Fourth Proportional to 188,378.13, 259,963.64 and 103,497.01

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Solution

The fourth proportional to 188,378.13, 259,963.64 and 103,497.01 is: 142,826.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,378.13 : 259,963.64 = 103,497.01 : x
  2. Step 2: Convert to fraction form
    188,378.13/259,963.64 = 103,497.01/x
  3. Step 3: Cross multiply
    188,378.13x = 259,963.64 × 103,497.01
  4. Step 4: Simplify right side
    188,378.13x = 26,905,459,448.72
  5. Step 5: Solve for x
    x = 26,905,459,448.72/188,378.13
  6. Step 6: Final answer
    x = 142,826.87

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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.