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Finding the Fourth Proportional to 82,460.97, 113,745.51 and 72,870.08

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Solution

The fourth proportional to 82,460.97, 113,745.51 and 72,870.08 is: 100,515.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,460.97 : 113,745.51 = 72,870.08 : x
  2. Step 2: Convert to fraction form
    82,460.97/113,745.51 = 72,870.08/x
  3. Step 3: Cross multiply
    82,460.97x = 113,745.51 × 72,870.08
  4. Step 4: Simplify right side
    82,460.97x = 8,288,644,413.34
  5. Step 5: Solve for x
    x = 8,288,644,413.34/82,460.97
  6. Step 6: Final answer
    x = 100,515.97

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1.5x scale

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.