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Finding the Fourth Proportional to 139,986.76, 209,980.30 and 34,805.74

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Solution

The fourth proportional to 139,986.76, 209,980.30 and 34,805.74 is: 52,208.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,986.76 : 209,980.30 = 34,805.74 : x
  2. Step 2: Convert to fraction form
    139,986.76/209,980.30 = 34,805.74/x
  3. Step 3: Cross multiply
    139,986.76x = 209,980.30 × 34,805.74
  4. Step 4: Simplify right side
    139,986.76x = 7,308,519,726.92
  5. Step 5: Solve for x
    x = 7,308,519,726.92/139,986.76
  6. Step 6: Final answer
    x = 52,208.65

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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.