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Finding the Fourth Proportional to 100,712.70, 138,980.73 and 55,390.68

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Solution

The fourth proportional to 100,712.70, 138,980.73 and 55,390.68 is: 76,437.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,712.70 : 138,980.73 = 55,390.68 : x
  2. Step 2: Convert to fraction form
    100,712.70/138,980.73 = 55,390.68/x
  3. Step 3: Cross multiply
    100,712.70x = 138,980.73 × 55,390.68
  4. Step 4: Simplify right side
    100,712.70x = 7,698,237,141.60
  5. Step 5: Solve for x
    x = 7,698,237,141.60/100,712.70
  6. Step 6: Final answer
    x = 76,437.60

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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.