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Finding the Fourth Proportional to 139,782, 209,674.62 and 34,601.88

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Solution

The fourth proportional to 139,782, 209,674.62 and 34,601.88 is: 51,903.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,782 : 209,674.62 = 34,601.88 : x
  2. Step 2: Convert to fraction form
    139,782/209,674.62 = 34,601.88/x
  3. Step 3: Cross multiply
    139,782x = 209,674.62 × 34,601.88
  4. Step 4: Simplify right side
    139,782x = 7,255,136,040.29
  5. Step 5: Solve for x
    x = 7,255,136,040.29/139,782
  6. Step 6: Final answer
    x = 51,903.22

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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.