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Finding the Fourth Proportional to 83,642.84, 115,388.62 and 53,413.04

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Solution

The fourth proportional to 83,642.84, 115,388.62 and 53,413.04 is: 73,685.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,642.84 : 115,388.62 = 53,413.04 : x
  2. Step 2: Convert to fraction form
    83,642.84/115,388.62 = 53,413.04/x
  3. Step 3: Cross multiply
    83,642.84x = 115,388.62 × 53,413.04
  4. Step 4: Simplify right side
    83,642.84x = 6,163,256,975.60
  5. Step 5: Solve for x
    x = 6,163,256,975.60/83,642.84
  6. Step 6: Final answer
    x = 73,685.41

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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.