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Finding the Fourth Proportional to 208,212, 287,332.56 and 118,786.08

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Solution

The fourth proportional to 208,212, 287,332.56 and 118,786.08 is: 163,924.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,212 : 287,332.56 = 118,786.08 : x
  2. Step 2: Convert to fraction form
    208,212/287,332.56 = 118,786.08/x
  3. Step 3: Cross multiply
    208,212x = 287,332.56 × 118,786.08
  4. Step 4: Simplify right side
    208,212x = 34,131,108,458.76
  5. Step 5: Solve for x
    x = 34,131,108,458.76/208,212
  6. Step 6: Final answer
    x = 163,924.79

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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.