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Finding the Fourth Proportional to 121,413.70, 182,023.35 and 51,235.30

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Solution

The fourth proportional to 121,413.70, 182,023.35 and 51,235.30 is: 76,811.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,413.70 : 182,023.35 = 51,235.30 : x
  2. Step 2: Convert to fraction form
    121,413.70/182,023.35 = 51,235.30/x
  3. Step 3: Cross multiply
    121,413.70x = 182,023.35 × 51,235.30
  4. Step 4: Simplify right side
    121,413.70x = 9,326,020,944.26
  5. Step 5: Solve for x
    x = 9,326,020,944.26/121,413.70
  6. Step 6: Final answer
    x = 76,811.93

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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.