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Finding the Fourth Proportional to 66,114, 91,085.06 and 45,676.49

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Solution

The fourth proportional to 66,114, 91,085.06 and 45,676.49 is: 62,928.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,114 : 91,085.06 = 45,676.49 : x
  2. Step 2: Convert to fraction form
    66,114/91,085.06 = 45,676.49/x
  3. Step 3: Cross multiply
    66,114x = 91,085.06 × 45,676.49
  4. Step 4: Simplify right side
    66,114x = 4,160,445,832.24
  5. Step 5: Solve for x
    x = 4,160,445,832.24/66,114
  6. Step 6: Final answer
    x = 62,928.36

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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.