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Finding the Fourth Proportional to 139,943.84, 209,846.64 and 46,418

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Solution

The fourth proportional to 139,943.84, 209,846.64 and 46,418 is: 69,604.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,943.84 : 209,846.64 = 46,418 : x
  2. Step 2: Convert to fraction form
    139,943.84/209,846.64 = 46,418/x
  3. Step 3: Cross multiply
    139,943.84x = 209,846.64 × 46,418
  4. Step 4: Simplify right side
    139,943.84x = 9,740,661,335.52
  5. Step 5: Solve for x
    x = 9,740,661,335.52/139,943.84
  6. Step 6: Final answer
    x = 69,604.07

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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.