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Finding the Fourth Proportional to 140,504, 210,756.16 and 57,398

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Solution

The fourth proportional to 140,504, 210,756.16 and 57,398 is: 86,097.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,504 : 210,756.16 = 57,398 : x
  2. Step 2: Convert to fraction form
    140,504/210,756.16 = 57,398/x
  3. Step 3: Cross multiply
    140,504x = 210,756.16 × 57,398
  4. Step 4: Simplify right side
    140,504x = 12,096,982,071.68
  5. Step 5: Solve for x
    x = 12,096,982,071.68/140,504
  6. Step 6: Final answer
    x = 86,097.07

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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.