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Finding the Fourth Proportional to 376,075.97, 564,196.98 and 139,418.65

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Solution

The fourth proportional to 376,075.97, 564,196.98 and 139,418.65 is: 209,158.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,075.97 : 564,196.98 = 139,418.65 : x
  2. Step 2: Convert to fraction form
    376,075.97/564,196.98 = 139,418.65/x
  3. Step 3: Cross multiply
    376,075.97x = 564,196.98 × 139,418.65
  4. Step 4: Simplify right side
    376,075.97x = 78,659,581,127.58
  5. Step 5: Solve for x
    x = 78,659,581,127.58/376,075.97
  6. Step 6: Final answer
    x = 209,158.75

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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.