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Finding the Fourth Proportional to 83,145.84, 114,741.60 and 45,420

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Solution

The fourth proportional to 83,145.84, 114,741.60 and 45,420 is: 62,679.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,145.84 : 114,741.60 = 45,420 : x
  2. Step 2: Convert to fraction form
    83,145.84/114,741.60 = 45,420/x
  3. Step 3: Cross multiply
    83,145.84x = 114,741.60 × 45,420
  4. Step 4: Simplify right side
    83,145.84x = 5,211,563,472
  5. Step 5: Solve for x
    x = 5,211,563,472/83,145.84
  6. Step 6: Final answer
    x = 62,679.79

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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.