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Finding the Fourth Proportional to 139,719.84, 192,783.48 and 83,120.16

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Solution

The fourth proportional to 139,719.84, 192,783.48 and 83,120.16 is: 114,688.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,719.84 : 192,783.48 = 83,120.16 : x
  2. Step 2: Convert to fraction form
    139,719.84/192,783.48 = 83,120.16/x
  3. Step 3: Cross multiply
    139,719.84x = 192,783.48 × 83,120.16
  4. Step 4: Simplify right side
    139,719.84x = 16,024,193,702.96
  5. Step 5: Solve for x
    x = 16,024,193,702.96/139,719.84
  6. Step 6: Final answer
    x = 114,688.03

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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.