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Finding the Fourth Proportional to 76,381.92, 105,413.40 and 42,393.60

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Solution

The fourth proportional to 76,381.92, 105,413.40 and 42,393.60 is: 58,506.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,381.92 : 105,413.40 = 42,393.60 : x
  2. Step 2: Convert to fraction form
    76,381.92/105,413.40 = 42,393.60/x
  3. Step 3: Cross multiply
    76,381.92x = 105,413.40 × 42,393.60
  4. Step 4: Simplify right side
    76,381.92x = 4,468,853,514.24
  5. Step 5: Solve for x
    x = 4,468,853,514.24/76,381.92
  6. Step 6: Final answer
    x = 58,506.69

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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.