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Finding the Fourth Proportional to 78,182.37, 107,898.30 and 65,413.02

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Solution

The fourth proportional to 78,182.37, 107,898.30 and 65,413.02 is: 90,275.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,182.37 : 107,898.30 = 65,413.02 : x
  2. Step 2: Convert to fraction form
    78,182.37/107,898.30 = 65,413.02/x
  3. Step 3: Cross multiply
    78,182.37x = 107,898.30 × 65,413.02
  4. Step 4: Simplify right side
    78,182.37x = 7,057,953,655.87
  5. Step 5: Solve for x
    x = 7,057,953,655.87/78,182.37
  6. Step 6: Final answer
    x = 90,275.51

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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.