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Finding the Fourth Proportional to 136,643.56, 188,569.14 and 76,218.13

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Solution

The fourth proportional to 136,643.56, 188,569.14 and 76,218.13 is: 105,181.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,643.56 : 188,569.14 = 76,218.13 : x
  2. Step 2: Convert to fraction form
    136,643.56/188,569.14 = 76,218.13/x
  3. Step 3: Cross multiply
    136,643.56x = 188,569.14 × 76,218.13
  4. Step 4: Simplify right side
    136,643.56x = 14,372,387,226.51
  5. Step 5: Solve for x
    x = 14,372,387,226.51/136,643.56
  6. Step 6: Final answer
    x = 105,181.59

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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.