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Finding the Fourth Proportional to 139,953.81, 209,930.72 and 46,459.56

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Solution

The fourth proportional to 139,953.81, 209,930.72 and 46,459.56 is: 69,689.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,953.81 : 209,930.72 = 46,459.56 : x
  2. Step 2: Convert to fraction form
    139,953.81/209,930.72 = 46,459.56/x
  3. Step 3: Cross multiply
    139,953.81x = 209,930.72 × 46,459.56
  4. Step 4: Simplify right side
    139,953.81x = 9,753,288,881.68
  5. Step 5: Solve for x
    x = 9,753,288,881.68/139,953.81
  6. Step 6: Final answer
    x = 69,689.34

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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.