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Finding the Fourth Proportional to 77,413.95, 106,806.03 and 45,141.30

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Solution

The fourth proportional to 77,413.95, 106,806.03 and 45,141.30 is: 62,280.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,413.95 : 106,806.03 = 45,141.30 : x
  2. Step 2: Convert to fraction form
    77,413.95/106,806.03 = 45,141.30/x
  3. Step 3: Cross multiply
    77,413.95x = 106,806.03 × 45,141.30
  4. Step 4: Simplify right side
    77,413.95x = 4,821,363,042.04
  5. Step 5: Solve for x
    x = 4,821,363,042.04/77,413.95
  6. Step 6: Final answer
    x = 62,280.29

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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.