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Finding the Fourth Proportional to 187,914, 259,457.40 and 120,962.64

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Solution

The fourth proportional to 187,914, 259,457.40 and 120,962.64 is: 167,016.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,914 : 259,457.40 = 120,962.64 : x
  2. Step 2: Convert to fraction form
    187,914/259,457.40 = 120,962.64/x
  3. Step 3: Cross multiply
    187,914x = 259,457.40 × 120,962.64
  4. Step 4: Simplify right side
    187,914x = 31,384,652,071.54
  5. Step 5: Solve for x
    x = 31,384,652,071.54/187,914
  6. Step 6: Final answer
    x = 167,016.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.