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Finding the Fourth Proportional to 99,539.34, 149,235.81 and 46,920.30

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Solution

The fourth proportional to 99,539.34, 149,235.81 and 46,920.30 is: 70,345.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,539.34 : 149,235.81 = 46,920.30 : x
  2. Step 2: Convert to fraction form
    99,539.34/149,235.81 = 46,920.30/x
  3. Step 3: Cross multiply
    99,539.34x = 149,235.81 × 46,920.30
  4. Step 4: Simplify right side
    99,539.34x = 7,002,188,975.94
  5. Step 5: Solve for x
    x = 7,002,188,975.94/99,539.34
  6. Step 6: Final answer
    x = 70,345.95

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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.