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Finding the Fourth Proportional to 89,430, 123,413.40 and 51,706.68

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Solution

The fourth proportional to 89,430, 123,413.40 and 51,706.68 is: 71,355.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,430 : 123,413.40 = 51,706.68 : x
  2. Step 2: Convert to fraction form
    89,430/123,413.40 = 51,706.68/x
  3. Step 3: Cross multiply
    89,430x = 123,413.40 × 51,706.68
  4. Step 4: Simplify right side
    89,430x = 6,381,297,181.51
  5. Step 5: Solve for x
    x = 6,381,297,181.51/89,430
  6. Step 6: Final answer
    x = 71,355.22

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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.