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Finding the Fourth Proportional to 211,572.82, 317,360.32 and 71,332.66

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Solution

The fourth proportional to 211,572.82, 317,360.32 and 71,332.66 is: 106,999.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,572.82 : 317,360.32 = 71,332.66 : x
  2. Step 2: Convert to fraction form
    211,572.82/317,360.32 = 71,332.66/x
  3. Step 3: Cross multiply
    211,572.82x = 317,360.32 × 71,332.66
  4. Step 4: Simplify right side
    211,572.82x = 22,638,155,804.05
  5. Step 5: Solve for x
    x = 22,638,155,804.05/211,572.82
  6. Step 6: Final answer
    x = 106,999.36

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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.