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Finding the Fourth Proportional to 105,413.46, 145,468 and 64,593.47

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Solution

The fourth proportional to 105,413.46, 145,468 and 64,593.47 is: 89,137.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,413.46 : 145,468 = 64,593.47 : x
  2. Step 2: Convert to fraction form
    105,413.46/145,468 = 64,593.47/x
  3. Step 3: Cross multiply
    105,413.46x = 145,468 × 64,593.47
  4. Step 4: Simplify right side
    105,413.46x = 9,396,282,893.96
  5. Step 5: Solve for x
    x = 9,396,282,893.96/105,413.46
  6. Step 6: Final answer
    x = 89,137.41

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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.