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Finding the Fourth Proportional to 72,770.16, 100,413.84 and 45,902.52

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Solution

The fourth proportional to 72,770.16, 100,413.84 and 45,902.52 is: 63,339.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,770.16 : 100,413.84 = 45,902.52 : x
  2. Step 2: Convert to fraction form
    72,770.16/100,413.84 = 45,902.52/x
  3. Step 3: Cross multiply
    72,770.16x = 100,413.84 × 45,902.52
  4. Step 4: Simplify right side
    72,770.16x = 4,609,248,298.88
  5. Step 5: Solve for x
    x = 4,609,248,298.88/72,770.16
  6. Step 6: Final answer
    x = 63,339.81

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1.5x scale

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.