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Finding the Fourth Proportional to 140,624.84, 210,965.46 and 51,878.80

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Solution

The fourth proportional to 140,624.84, 210,965.46 and 51,878.80 is: 77,828.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,624.84 : 210,965.46 = 51,878.80 : x
  2. Step 2: Convert to fraction form
    140,624.84/210,965.46 = 51,878.80/x
  3. Step 3: Cross multiply
    140,624.84x = 210,965.46 × 51,878.80
  4. Step 4: Simplify right side
    140,624.84x = 10,944,634,906.25
  5. Step 5: Solve for x
    x = 10,944,634,906.25/140,624.84
  6. Step 6: Final answer
    x = 77,828.60

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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.