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Finding the Fourth Proportional to 45,609.18, 68,413.77 and 14,442

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Solution

The fourth proportional to 45,609.18, 68,413.77 and 14,442 is: 21,663

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,609.18 : 68,413.77 = 14,442 : x
  2. Step 2: Convert to fraction form
    45,609.18/68,413.77 = 14,442/x
  3. Step 3: Cross multiply
    45,609.18x = 68,413.77 × 14,442
  4. Step 4: Simplify right side
    45,609.18x = 988,031,666.34
  5. Step 5: Solve for x
    x = 988,031,666.34/45,609.18
  6. Step 6: Final answer
    x = 21,663

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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.