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Finding the Fourth Proportional to 45,698, 68,557.08 and 19,425.20

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Solution

The fourth proportional to 45,698, 68,557.08 and 19,425.20 is: 29,142.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,698 : 68,557.08 = 19,425.20 : x
  2. Step 2: Convert to fraction form
    45,698/68,557.08 = 19,425.20/x
  3. Step 3: Cross multiply
    45,698x = 68,557.08 × 19,425.20
  4. Step 4: Simplify right side
    45,698x = 1,331,734,990.42
  5. Step 5: Solve for x
    x = 1,331,734,990.42/45,698
  6. Step 6: Final answer
    x = 29,142.08

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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.