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Finding the Fourth Proportional to 136,610, 188,523.28 and 76,994

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Solution

The fourth proportional to 136,610, 188,523.28 and 76,994 is: 106,252.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,610 : 188,523.28 = 76,994 : x
  2. Step 2: Convert to fraction form
    136,610/188,523.28 = 76,994/x
  3. Step 3: Cross multiply
    136,610x = 188,523.28 × 76,994
  4. Step 4: Simplify right side
    136,610x = 14,515,161,420.32
  5. Step 5: Solve for x
    x = 14,515,161,420.32/136,610
  6. Step 6: Final answer
    x = 106,252.55

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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.