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Finding the Fourth Proportional to 100,684.32, 138,945.99 and 55,364.28

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Solution

The fourth proportional to 100,684.32, 138,945.99 and 55,364.28 is: 76,403.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,684.32 : 138,945.99 = 55,364.28 : x
  2. Step 2: Convert to fraction form
    100,684.32/138,945.99 = 55,364.28/x
  3. Step 3: Cross multiply
    100,684.32x = 138,945.99 × 55,364.28
  4. Step 4: Simplify right side
    100,684.32x = 7,692,644,695.24
  5. Step 5: Solve for x
    x = 7,692,644,695.24/100,684.32
  6. Step 6: Final answer
    x = 76,403.60

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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.