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Finding the Fourth Proportional to 188,017, 259,463.48 and 103,134.28

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Solution

The fourth proportional to 188,017, 259,463.48 and 103,134.28 is: 142,325.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,017 : 259,463.48 = 103,134.28 : x
  2. Step 2: Convert to fraction form
    188,017/259,463.48 = 103,134.28/x
  3. Step 3: Cross multiply
    188,017x = 259,463.48 × 103,134.28
  4. Step 4: Simplify right side
    188,017x = 26,759,578,680.42
  5. Step 5: Solve for x
    x = 26,759,578,680.42/188,017
  6. Step 6: Final answer
    x = 142,325.31

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1.5x scale

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.