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Finding the Fourth Proportional to 209,923.40, 289,683.40 and 119,266.80

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Solution

The fourth proportional to 209,923.40, 289,683.40 and 119,266.80 is: 164,582.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,923.40 : 289,683.40 = 119,266.80 : x
  2. Step 2: Convert to fraction form
    209,923.40/289,683.40 = 119,266.80/x
  3. Step 3: Cross multiply
    209,923.40x = 289,683.40 × 119,266.80
  4. Step 4: Simplify right side
    209,923.40x = 34,549,612,131.12
  5. Step 5: Solve for x
    x = 34,549,612,131.12/209,923.40
  6. Step 6: Final answer
    x = 164,582.00

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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.