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Finding the Fourth Proportional to 109,657.80, 164,486.70 and 83,413.80

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Solution

The fourth proportional to 109,657.80, 164,486.70 and 83,413.80 is: 125,120.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,657.80 : 164,486.70 = 83,413.80 : x
  2. Step 2: Convert to fraction form
    109,657.80/164,486.70 = 83,413.80/x
  3. Step 3: Cross multiply
    109,657.80x = 164,486.70 × 83,413.80
  4. Step 4: Simplify right side
    109,657.80x = 13,720,460,696.46
  5. Step 5: Solve for x
    x = 13,720,460,696.46/109,657.80
  6. Step 6: Final answer
    x = 125,120.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.