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Finding the Fourth Proportional to 84,102.72, 116,038.56 and 48,290.88

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Solution

The fourth proportional to 84,102.72, 116,038.56 and 48,290.88 is: 66,628.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,102.72 : 116,038.56 = 48,290.88 : x
  2. Step 2: Convert to fraction form
    84,102.72/116,038.56 = 48,290.88/x
  3. Step 3: Cross multiply
    84,102.72x = 116,038.56 × 48,290.88
  4. Step 4: Simplify right side
    84,102.72x = 5,603,604,176.33
  5. Step 5: Solve for x
    x = 5,603,604,176.33/84,102.72
  6. Step 6: Final answer
    x = 66,628.10

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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.