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Finding the Fourth Proportional to 105,737.73, 145,830.94 and 65,413.09

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Solution

The fourth proportional to 105,737.73, 145,830.94 and 65,413.09 is: 90,216.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,737.73 : 145,830.94 = 65,413.09 : x
  2. Step 2: Convert to fraction form
    105,737.73/145,830.94 = 65,413.09/x
  3. Step 3: Cross multiply
    105,737.73x = 145,830.94 × 65,413.09
  4. Step 4: Simplify right side
    105,737.73x = 9,539,252,403.00
  5. Step 5: Solve for x
    x = 9,539,252,403.00/105,737.73
  6. Step 6: Final answer
    x = 90,216.16

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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.