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Finding the Fourth Proportional to 188,643.34, 260,326.57 and 106,987.14

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Solution

The fourth proportional to 188,643.34, 260,326.57 and 106,987.14 is: 147,641.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,643.34 : 260,326.57 = 106,987.14 : x
  2. Step 2: Convert to fraction form
    188,643.34/260,326.57 = 106,987.14/x
  3. Step 3: Cross multiply
    188,643.34x = 260,326.57 × 106,987.14
  4. Step 4: Simplify right side
    188,643.34x = 27,851,594,922.84
  5. Step 5: Solve for x
    x = 27,851,594,922.84/188,643.34
  6. Step 6: Final answer
    x = 147,641.55

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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.