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Finding the Fourth Proportional to 208,970.86, 288,425.70 and 137,357.54

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Solution

The fourth proportional to 208,970.86, 288,425.70 and 137,357.54 is: 189,583.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,970.86 : 288,425.70 = 137,357.54 : x
  2. Step 2: Convert to fraction form
    208,970.86/288,425.70 = 137,357.54/x
  3. Step 3: Cross multiply
    208,970.86x = 288,425.70 × 137,357.54
  4. Step 4: Simplify right side
    208,970.86x = 39,617,444,624.78
  5. Step 5: Solve for x
    x = 39,617,444,624.78/208,970.86
  6. Step 6: Final answer
    x = 189,583.58

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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.