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Finding the Fourth Proportional to 139,717.71, 209,574.50 and 34,536.65

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Solution

The fourth proportional to 139,717.71, 209,574.50 and 34,536.65 is: 51,804.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,717.71 : 209,574.50 = 34,536.65 : x
  2. Step 2: Convert to fraction form
    139,717.71/209,574.50 = 34,536.65/x
  3. Step 3: Cross multiply
    139,717.71x = 209,574.50 × 34,536.65
  4. Step 4: Simplify right side
    139,717.71x = 7,237,999,934.87
  5. Step 5: Solve for x
    x = 7,237,999,934.87/139,717.71
  6. Step 6: Final answer
    x = 51,804.46

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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.