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Finding the Fourth Proportional to 138,878.74, 191,664.44 and 78,460.46

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Solution

The fourth proportional to 138,878.74, 191,664.44 and 78,460.46 is: 108,282.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,878.74 : 191,664.44 = 78,460.46 : x
  2. Step 2: Convert to fraction form
    138,878.74/191,664.44 = 78,460.46/x
  3. Step 3: Cross multiply
    138,878.74x = 191,664.44 × 78,460.46
  4. Step 4: Simplify right side
    138,878.74x = 15,038,080,128.04
  5. Step 5: Solve for x
    x = 15,038,080,128.04/138,878.74
  6. Step 6: Final answer
    x = 108,282.09

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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.