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Finding the Fourth Proportional to 45,819, 68,728.50 and 14,656.68

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Solution

The fourth proportional to 45,819, 68,728.50 and 14,656.68 is: 21,985.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,819 : 68,728.50 = 14,656.68 : x
  2. Step 2: Convert to fraction form
    45,819/68,728.50 = 14,656.68/x
  3. Step 3: Cross multiply
    45,819x = 68,728.50 × 14,656.68
  4. Step 4: Simplify right side
    45,819x = 1,007,331,631.38
  5. Step 5: Solve for x
    x = 1,007,331,631.38/45,819
  6. Step 6: Final answer
    x = 21,985.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.