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Finding the Fourth Proportional to 83,413.68, 115,111.02 and 45,173.64

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Solution

The fourth proportional to 83,413.68, 115,111.02 and 45,173.64 is: 62,339.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,413.68 : 115,111.02 = 45,173.64 : x
  2. Step 2: Convert to fraction form
    83,413.68/115,111.02 = 45,173.64/x
  3. Step 3: Cross multiply
    83,413.68x = 115,111.02 × 45,173.64
  4. Step 4: Simplify right side
    83,413.68x = 5,199,983,777.51
  5. Step 5: Solve for x
    x = 5,199,983,777.51/83,413.68
  6. Step 6: Final answer
    x = 62,339.70

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