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Finding the Fourth Proportional to 140,491.13, 210,736.89 and 57,385.13

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Solution

The fourth proportional to 140,491.13, 210,736.89 and 57,385.13 is: 86,077.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,491.13 : 210,736.89 = 57,385.13 : x
  2. Step 2: Convert to fraction form
    140,491.13/210,736.89 = 57,385.13/x
  3. Step 3: Cross multiply
    140,491.13x = 210,736.89 × 57,385.13
  4. Step 4: Simplify right side
    140,491.13x = 12,093,162,774.76
  5. Step 5: Solve for x
    x = 12,093,162,774.76/140,491.13
  6. Step 6: Final answer
    x = 86,077.77

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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.