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Finding the Fourth Proportional to 84,853.84, 117,020.05 and 57,670.64

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Solution

The fourth proportional to 84,853.84, 117,020.05 and 57,670.64 is: 79,532.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,853.84 : 117,020.05 = 57,670.64 : x
  2. Step 2: Convert to fraction form
    84,853.84/117,020.05 = 57,670.64/x
  3. Step 3: Cross multiply
    84,853.84x = 117,020.05 × 57,670.64
  4. Step 4: Simplify right side
    84,853.84x = 6,748,621,176.33
  5. Step 5: Solve for x
    x = 6,748,621,176.33/84,853.84
  6. Step 6: Final answer
    x = 79,532.30

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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.