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Finding the Fourth Proportional to 121,271.40, 181,842.30 and 51,071.40

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Solution

The fourth proportional to 121,271.40, 181,842.30 and 51,071.40 is: 76,579.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,271.40 : 181,842.30 = 51,071.40 : x
  2. Step 2: Convert to fraction form
    121,271.40/181,842.30 = 51,071.40/x
  3. Step 3: Cross multiply
    121,271.40x = 181,842.30 × 51,071.40
  4. Step 4: Simplify right side
    121,271.40x = 9,286,940,840.22
  5. Step 5: Solve for x
    x = 9,286,940,840.22/121,271.40
  6. Step 6: Final answer
    x = 76,579.81

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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.