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Finding the Fourth Proportional to 100,955.64, 139,319.71 and 55,635.24

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Solution

The fourth proportional to 100,955.64, 139,319.71 and 55,635.24 is: 76,777.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,955.64 : 139,319.71 = 55,635.24 : x
  2. Step 2: Convert to fraction form
    100,955.64/139,319.71 = 55,635.24/x
  3. Step 3: Cross multiply
    100,955.64x = 139,319.71 × 55,635.24
  4. Step 4: Simplify right side
    100,955.64x = 7,751,085,502.58
  5. Step 5: Solve for x
    x = 7,751,085,502.58/100,955.64
  6. Step 6: Final answer
    x = 76,777.15

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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.