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Finding the Fourth Proportional to 101,413.91, 139,980.41 and 71,206.58

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Solution

The fourth proportional to 101,413.91, 139,980.41 and 71,206.58 is: 98,285.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,413.91 : 139,980.41 = 71,206.58 : x
  2. Step 2: Convert to fraction form
    101,413.91/139,980.41 = 71,206.58/x
  3. Step 3: Cross multiply
    101,413.91x = 139,980.41 × 71,206.58
  4. Step 4: Simplify right side
    101,413.91x = 9,967,525,207.16
  5. Step 5: Solve for x
    x = 9,967,525,207.16/101,413.91
  6. Step 6: Final answer
    x = 98,285.59

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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.