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Finding the Fourth Proportional to 75,053.70, 112,413.78 and 53,930.34

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Solution

The fourth proportional to 75,053.70, 112,413.78 and 53,930.34 is: 80,775.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,053.70 : 112,413.78 = 53,930.34 : x
  2. Step 2: Convert to fraction form
    75,053.70/112,413.78 = 53,930.34/x
  3. Step 3: Cross multiply
    75,053.70x = 112,413.78 × 53,930.34
  4. Step 4: Simplify right side
    75,053.70x = 6,062,513,376.09
  5. Step 5: Solve for x
    x = 6,062,513,376.09/75,053.70
  6. Step 6: Final answer
    x = 80,775.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.