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Finding the Fourth Proportional to 84,143.84, 116,118.62 and 46,418

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Solution

The fourth proportional to 84,143.84, 116,118.62 and 46,418 is: 64,056.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,143.84 : 116,118.62 = 46,418 : x
  2. Step 2: Convert to fraction form
    84,143.84/116,118.62 = 46,418/x
  3. Step 3: Cross multiply
    84,143.84x = 116,118.62 × 46,418
  4. Step 4: Simplify right side
    84,143.84x = 5,389,994,103.16
  5. Step 5: Solve for x
    x = 5,389,994,103.16/84,143.84
  6. Step 6: Final answer
    x = 64,056.91

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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.