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Finding the Fourth Proportional to 211,548.70, 317,323.05 and 127,567.90

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Solution

The fourth proportional to 211,548.70, 317,323.05 and 127,567.90 is: 191,351.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,548.70 : 317,323.05 = 127,567.90 : x
  2. Step 2: Convert to fraction form
    211,548.70/317,323.05 = 127,567.90/x
  3. Step 3: Cross multiply
    211,548.70x = 317,323.05 × 127,567.90
  4. Step 4: Simplify right side
    211,548.70x = 40,480,235,110.10
  5. Step 5: Solve for x
    x = 40,480,235,110.10/211,548.70
  6. Step 6: Final answer
    x = 191,351.85

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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.