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Finding the Fourth Proportional to 76,403.82, 105,434.55 and 42,413.79

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Solution

The fourth proportional to 76,403.82, 105,434.55 and 42,413.79 is: 58,529.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,403.82 : 105,434.55 = 42,413.79 : x
  2. Step 2: Convert to fraction form
    76,403.82/105,434.55 = 42,413.79/x
  3. Step 3: Cross multiply
    76,403.82x = 105,434.55 × 42,413.79
  4. Step 4: Simplify right side
    76,403.82x = 4,471,878,862.44
  5. Step 5: Solve for x
    x = 4,471,878,862.44/76,403.82
  6. Step 6: Final answer
    x = 58,529.52

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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.