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Finding the Fourth Proportional to 100,971.60, 139,334.52 and 55,647.06

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Solution

The fourth proportional to 100,971.60, 139,334.52 and 55,647.06 is: 76,789.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,971.60 : 139,334.52 = 55,647.06 : x
  2. Step 2: Convert to fraction form
    100,971.60/139,334.52 = 55,647.06/x
  3. Step 3: Cross multiply
    100,971.60x = 139,334.52 × 55,647.06
  4. Step 4: Simplify right side
    100,971.60x = 7,753,556,394.51
  5. Step 5: Solve for x
    x = 7,753,556,394.51/100,971.60
  6. Step 6: Final answer
    x = 76,789.48

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1.5x scale

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.