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Finding the Fourth Proportional to 139,787.64, 209,564.82 and 46,242.36

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Solution

The fourth proportional to 139,787.64, 209,564.82 and 46,242.36 is: 69,324.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,787.64 : 209,564.82 = 46,242.36 : x
  2. Step 2: Convert to fraction form
    139,787.64/209,564.82 = 46,242.36/x
  3. Step 3: Cross multiply
    139,787.64x = 209,564.82 × 46,242.36
  4. Step 4: Simplify right side
    139,787.64x = 9,690,771,849.78
  5. Step 5: Solve for x
    x = 9,690,771,849.78/139,787.64
  6. Step 6: Final answer
    x = 69,324.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.