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Finding the Fourth Proportional to 98,413.65, 135,876.21 and 75,712.59

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Solution

The fourth proportional to 98,413.65, 135,876.21 and 75,712.59 is: 104,533.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,413.65 : 135,876.21 = 75,712.59 : x
  2. Step 2: Convert to fraction form
    98,413.65/135,876.21 = 75,712.59/x
  3. Step 3: Cross multiply
    98,413.65x = 135,876.21 × 75,712.59
  4. Step 4: Simplify right side
    98,413.65x = 10,287,539,778.48
  5. Step 5: Solve for x
    x = 10,287,539,778.48/98,413.65
  6. Step 6: Final answer
    x = 104,533.67

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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.