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Finding the Fourth Proportional to 139,262.69, 208,902.92 and 39,430.76

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Solution

The fourth proportional to 139,262.69, 208,902.92 and 39,430.76 is: 59,148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,262.69 : 208,902.92 = 39,430.76 : x
  2. Step 2: Convert to fraction form
    139,262.69/208,902.92 = 39,430.76/x
  3. Step 3: Cross multiply
    139,262.69x = 208,902.92 × 39,430.76
  4. Step 4: Simplify right side
    139,262.69x = 8,237,200,139.73
  5. Step 5: Solve for x
    x = 8,237,200,139.73/139,262.69
  6. Step 6: Final answer
    x = 59,148.65

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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.