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Finding the Fourth Proportional to 185,970.08, 256,638 and 105,413.12

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Solution

The fourth proportional to 185,970.08, 256,638 and 105,413.12 is: 145,469.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,970.08 : 256,638 = 105,413.12 : x
  2. Step 2: Convert to fraction form
    185,970.08/256,638 = 105,413.12/x
  3. Step 3: Cross multiply
    185,970.08x = 256,638 × 105,413.12
  4. Step 4: Simplify right side
    185,970.08x = 27,053,012,290.56
  5. Step 5: Solve for x
    x = 27,053,012,290.56/185,970.08
  6. Step 6: Final answer
    x = 145,469.70

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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.