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Finding the Fourth Proportional to 139,830.60, 193,079.88 and 113,993.16

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Solution

The fourth proportional to 139,830.60, 193,079.88 and 113,993.16 is: 157,403.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,830.60 : 193,079.88 = 113,993.16 : x
  2. Step 2: Convert to fraction form
    139,830.60/193,079.88 = 113,993.16/x
  3. Step 3: Cross multiply
    139,830.60x = 193,079.88 × 113,993.16
  4. Step 4: Simplify right side
    139,830.60x = 22,009,785,653.62
  5. Step 5: Solve for x
    x = 22,009,785,653.62/139,830.60
  6. Step 6: Final answer
    x = 157,403.21

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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.