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Finding the Fourth Proportional to 211,779.83, 317,731.88 and 85,355.17

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Solution

The fourth proportional to 211,779.83, 317,731.88 and 85,355.17 is: 128,057.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,779.83 : 317,731.88 = 85,355.17 : x
  2. Step 2: Convert to fraction form
    211,779.83/317,731.88 = 85,355.17/x
  3. Step 3: Cross multiply
    211,779.83x = 317,731.88 × 85,355.17
  4. Step 4: Simplify right side
    211,779.83x = 27,120,058,050.88
  5. Step 5: Solve for x
    x = 27,120,058,050.88/211,779.83
  6. Step 6: Final answer
    x = 128,057.79

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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.