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Finding the Fourth Proportional to 139,980.74, 193,177.64 and 76,319.60

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Solution

The fourth proportional to 139,980.74, 193,177.64 and 76,319.60 is: 105,323.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,980.74 : 193,177.64 = 76,319.60 : x
  2. Step 2: Convert to fraction form
    139,980.74/193,177.64 = 76,319.60/x
  3. Step 3: Cross multiply
    139,980.74x = 193,177.64 × 76,319.60
  4. Step 4: Simplify right side
    139,980.74x = 14,743,239,438.65
  5. Step 5: Solve for x
    x = 14,743,239,438.65/139,980.74
  6. Step 6: Final answer
    x = 105,323.35

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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.