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Finding the Fourth Proportional to 45,682, 68,154.47 and 40,695.64

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Solution

The fourth proportional to 45,682, 68,154.47 and 40,695.64 is: 60,715.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,682 : 68,154.47 = 40,695.64 : x
  2. Step 2: Convert to fraction form
    45,682/68,154.47 = 40,695.64/x
  3. Step 3: Cross multiply
    45,682x = 68,154.47 × 40,695.64
  4. Step 4: Simplify right side
    45,682x = 2,773,589,775.51
  5. Step 5: Solve for x
    x = 2,773,589,775.51/45,682
  6. Step 6: Final answer
    x = 60,715.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.