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Finding the Fourth Proportional to 188,265.53, 259,803.23 and 103,381.98

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Solution

The fourth proportional to 188,265.53, 259,803.23 and 103,381.98 is: 142,665.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,265.53 : 259,803.23 = 103,381.98 : x
  2. Step 2: Convert to fraction form
    188,265.53/259,803.23 = 103,381.98/x
  3. Step 3: Cross multiply
    188,265.53x = 259,803.23 × 103,381.98
  4. Step 4: Simplify right side
    188,265.53x = 26,858,971,810.89
  5. Step 5: Solve for x
    x = 26,858,971,810.89/188,265.53
  6. Step 6: Final answer
    x = 142,665.38

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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.