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Finding the Fourth Proportional to 209,976.80, 314,965.20 and 130,078.40

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Solution

The fourth proportional to 209,976.80, 314,965.20 and 130,078.40 is: 195,117.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,976.80 : 314,965.20 = 130,078.40 : x
  2. Step 2: Convert to fraction form
    209,976.80/314,965.20 = 130,078.40/x
  3. Step 3: Cross multiply
    209,976.80x = 314,965.20 × 130,078.40
  4. Step 4: Simplify right side
    209,976.80x = 40,970,169,271.68
  5. Step 5: Solve for x
    x = 40,970,169,271.68/209,976.80
  6. Step 6: Final answer
    x = 195,117.60

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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.