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Finding the Fourth Proportional to 139,868, 193,018.96 and 76,204.16

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Solution

The fourth proportional to 139,868, 193,018.96 and 76,204.16 is: 105,162.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,868 : 193,018.96 = 76,204.16 : x
  2. Step 2: Convert to fraction form
    139,868/193,018.96 = 76,204.16/x
  3. Step 3: Cross multiply
    139,868x = 193,018.96 × 76,204.16
  4. Step 4: Simplify right side
    139,868x = 14,708,847,710.87
  5. Step 5: Solve for x
    x = 14,708,847,710.87/139,868
  6. Step 6: Final answer
    x = 105,162.35

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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.