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Finding the Fourth Proportional to 207,667.74, 311,368.53 and 87,692.20

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Solution

The fourth proportional to 207,667.74, 311,368.53 and 87,692.20 is: 131,482.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,667.74 : 311,368.53 = 87,692.20 : x
  2. Step 2: Convert to fraction form
    207,667.74/311,368.53 = 87,692.20/x
  3. Step 3: Cross multiply
    207,667.74x = 311,368.53 × 87,692.20
  4. Step 4: Simplify right side
    207,667.74x = 27,304,590,068.85
  5. Step 5: Solve for x
    x = 27,304,590,068.85/207,667.74
  6. Step 6: Final answer
    x = 131,482.10

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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.