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Finding the Fourth Proportional to 67,075.65, 100,477.60 and 31,000.86

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Solution

The fourth proportional to 67,075.65, 100,477.60 and 31,000.86 is: 46,438.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,075.65 : 100,477.60 = 31,000.86 : x
  2. Step 2: Convert to fraction form
    67,075.65/100,477.60 = 31,000.86/x
  3. Step 3: Cross multiply
    67,075.65x = 100,477.60 × 31,000.86
  4. Step 4: Simplify right side
    67,075.65x = 3,114,891,933.23
  5. Step 5: Solve for x
    x = 3,114,891,933.23/67,075.65
  6. Step 6: Final answer
    x = 46,438.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.