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Finding the Fourth Proportional to 84,143.25, 116,119.88 and 45,903.42

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Solution

The fourth proportional to 84,143.25, 116,119.88 and 45,903.42 is: 63,347.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,143.25 : 116,119.88 = 45,903.42 : x
  2. Step 2: Convert to fraction form
    84,143.25/116,119.88 = 45,903.42/x
  3. Step 3: Cross multiply
    84,143.25x = 116,119.88 × 45,903.42
  4. Step 4: Simplify right side
    84,143.25x = 5,330,299,564.61
  5. Step 5: Solve for x
    x = 5,330,299,564.61/84,143.25
  6. Step 6: Final answer
    x = 63,347.92

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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.