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Finding the Fourth Proportional to 56,978.08, 85,413.36 and 20,021.92

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Solution

The fourth proportional to 56,978.08, 85,413.36 and 20,021.92 is: 30,013.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,978.08 : 85,413.36 = 20,021.92 : x
  2. Step 2: Convert to fraction form
    56,978.08/85,413.36 = 20,021.92/x
  3. Step 3: Cross multiply
    56,978.08x = 85,413.36 × 20,021.92
  4. Step 4: Simplify right side
    56,978.08x = 1,710,139,460.85
  5. Step 5: Solve for x
    x = 1,710,139,460.85/56,978.08
  6. Step 6: Final answer
    x = 30,013.99

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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.