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Finding the Fourth Proportional to 78,182.87, 107,898.99 and 65,413.52

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Solution

The fourth proportional to 78,182.87, 107,898.99 and 65,413.52 is: 90,276.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,182.87 : 107,898.99 = 65,413.52 : x
  2. Step 2: Convert to fraction form
    78,182.87/107,898.99 = 65,413.52/x
  3. Step 3: Cross multiply
    78,182.87x = 107,898.99 × 65,413.52
  4. Step 4: Simplify right side
    78,182.87x = 7,058,052,740.34
  5. Step 5: Solve for x
    x = 7,058,052,740.34/78,182.87
  6. Step 6: Final answer
    x = 90,276.20

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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.