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Finding the Fourth Proportional to 100,497.78, 138,751.83 and 62,297.96

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Solution

The fourth proportional to 100,497.78, 138,751.83 and 62,297.96 is: 86,011.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,497.78 : 138,751.83 = 62,297.96 : x
  2. Step 2: Convert to fraction form
    100,497.78/138,751.83 = 62,297.96/x
  3. Step 3: Cross multiply
    100,497.78x = 138,751.83 × 62,297.96
  4. Step 4: Simplify right side
    100,497.78x = 8,643,955,261.51
  5. Step 5: Solve for x
    x = 8,643,955,261.51/100,497.78
  6. Step 6: Final answer
    x = 86,011.41

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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.