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Finding the Fourth Proportional to 208,413.90, 287,611.47 and 112,920.57

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Solution

The fourth proportional to 208,413.90, 287,611.47 and 112,920.57 is: 155,830.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,413.90 : 287,611.47 = 112,920.57 : x
  2. Step 2: Convert to fraction form
    208,413.90/287,611.47 = 112,920.57/x
  3. Step 3: Cross multiply
    208,413.90x = 287,611.47 × 112,920.57
  4. Step 4: Simplify right side
    208,413.90x = 32,477,251,130.94
  5. Step 5: Solve for x
    x = 32,477,251,130.94/208,413.90
  6. Step 6: Final answer
    x = 155,830.54

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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.