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Finding the Fourth Proportional to 100,612.96, 138,846.62 and 55,291.84

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Solution

The fourth proportional to 100,612.96, 138,846.62 and 55,291.84 is: 76,303.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,612.96 : 138,846.62 = 55,291.84 : x
  2. Step 2: Convert to fraction form
    100,612.96/138,846.62 = 55,291.84/x
  3. Step 3: Cross multiply
    100,612.96x = 138,846.62 × 55,291.84
  4. Step 4: Simplify right side
    100,612.96x = 7,677,085,097.58
  5. Step 5: Solve for x
    x = 7,677,085,097.58/100,612.96
  6. Step 6: Final answer
    x = 76,303.14

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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.