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Finding the Fourth Proportional to 212,081.63, 318,038.72 and 85,698.01

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Solution

The fourth proportional to 212,081.63, 318,038.72 and 85,698.01 is: 128,513.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,081.63 : 318,038.72 = 85,698.01 : x
  2. Step 2: Convert to fraction form
    212,081.63/318,038.72 = 85,698.01/x
  3. Step 3: Cross multiply
    212,081.63x = 318,038.72 × 85,698.01
  4. Step 4: Simplify right side
    212,081.63x = 27,255,284,183.36
  5. Step 5: Solve for x
    x = 27,255,284,183.36/212,081.63
  6. Step 6: Final answer
    x = 128,513.18

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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.