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Finding the Fourth Proportional to 103,413.62, 142,707 and 63,194.70

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Solution

The fourth proportional to 103,413.62, 142,707 and 63,194.70 is: 87,206.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,413.62 : 142,707 = 63,194.70 : x
  2. Step 2: Convert to fraction form
    103,413.62/142,707 = 63,194.70/x
  3. Step 3: Cross multiply
    103,413.62x = 142,707 × 63,194.70
  4. Step 4: Simplify right side
    103,413.62x = 9,018,326,052.90
  5. Step 5: Solve for x
    x = 9,018,326,052.90/103,413.62
  6. Step 6: Final answer
    x = 87,206.37

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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.