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Finding the Fourth Proportional to 78,560.47, 108,413.25 and 42,750.47

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Solution

The fourth proportional to 78,560.47, 108,413.25 and 42,750.47 is: 58,995.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,560.47 : 108,413.25 = 42,750.47 : x
  2. Step 2: Convert to fraction form
    78,560.47/108,413.25 = 42,750.47/x
  3. Step 3: Cross multiply
    78,560.47x = 108,413.25 × 42,750.47
  4. Step 4: Simplify right side
    78,560.47x = 4,634,717,391.73
  5. Step 5: Solve for x
    x = 4,634,717,391.73/78,560.47
  6. Step 6: Final answer
    x = 58,995.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.