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Finding the Fourth Proportional to 213,911.64, 295,068.60 and 137,404.68

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Solution

The fourth proportional to 213,911.64, 295,068.60 and 137,404.68 is: 189,535.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,911.64 : 295,068.60 = 137,404.68 : x
  2. Step 2: Convert to fraction form
    213,911.64/295,068.60 = 137,404.68/x
  3. Step 3: Cross multiply
    213,911.64x = 295,068.60 × 137,404.68
  4. Step 4: Simplify right side
    213,911.64x = 40,543,806,561.05
  5. Step 5: Solve for x
    x = 40,543,806,561.05/213,911.64
  6. Step 6: Final answer
    x = 189,535.30

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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.