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Finding the Fourth Proportional to 141,176, 211,764 and 42,680

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Solution

The fourth proportional to 141,176, 211,764 and 42,680 is: 64,020

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,176 : 211,764 = 42,680 : x
  2. Step 2: Convert to fraction form
    141,176/211,764 = 42,680/x
  3. Step 3: Cross multiply
    141,176x = 211,764 × 42,680
  4. Step 4: Simplify right side
    141,176x = 9,038,087,520
  5. Step 5: Solve for x
    x = 9,038,087,520/141,176
  6. Step 6: Final answer
    x = 64,020

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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.