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Finding the Fourth Proportional to 119,075.96, 178,520.72 and 81,522.47

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Solution

The fourth proportional to 119,075.96, 178,520.72 and 81,522.47 is: 122,219.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,075.96 : 178,520.72 = 81,522.47 : x
  2. Step 2: Convert to fraction form
    119,075.96/178,520.72 = 81,522.47/x
  3. Step 3: Cross multiply
    119,075.96x = 178,520.72 × 81,522.47
  4. Step 4: Simplify right side
    119,075.96x = 14,553,448,740.36
  5. Step 5: Solve for x
    x = 14,553,448,740.36/119,075.96
  6. Step 6: Final answer
    x = 122,219.88

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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.