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Finding the Fourth Proportional to 208,212.66, 312,332.67 and 83,537.46

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Solution

The fourth proportional to 208,212.66, 312,332.67 and 83,537.46 is: 125,311.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,212.66 : 312,332.67 = 83,537.46 : x
  2. Step 2: Convert to fraction form
    208,212.66/312,332.67 = 83,537.46/x
  3. Step 3: Cross multiply
    208,212.66x = 312,332.67 × 83,537.46
  4. Step 4: Simplify right side
    208,212.66x = 26,091,477,926.82
  5. Step 5: Solve for x
    x = 26,091,477,926.82/208,212.66
  6. Step 6: Final answer
    x = 125,311.68

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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.