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Finding the Fourth Proportional to 70,605.90, 105,936.57 and 31,135.50

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Solution

The fourth proportional to 70,605.90, 105,936.57 and 31,135.50 is: 46,715.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,605.90 : 105,936.57 = 31,135.50 : x
  2. Step 2: Convert to fraction form
    70,605.90/105,936.57 = 31,135.50/x
  3. Step 3: Cross multiply
    70,605.90x = 105,936.57 × 31,135.50
  4. Step 4: Simplify right side
    70,605.90x = 3,298,388,075.24
  5. Step 5: Solve for x
    x = 3,298,388,075.24/70,605.90
  6. Step 6: Final answer
    x = 46,715.47

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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.