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Finding the Fourth Proportional to 139,980.16, 193,170.76 and 76,317.84

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Solution

The fourth proportional to 139,980.16, 193,170.76 and 76,317.84 is: 105,317.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,980.16 : 193,170.76 = 76,317.84 : x
  2. Step 2: Convert to fraction form
    139,980.16/193,170.76 = 76,317.84/x
  3. Step 3: Cross multiply
    139,980.16x = 193,170.76 × 76,317.84
  4. Step 4: Simplify right side
    139,980.16x = 14,742,375,154.36
  5. Step 5: Solve for x
    x = 14,742,375,154.36/139,980.16
  6. Step 6: Final answer
    x = 105,317.60

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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.