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Finding the Fourth Proportional to 121,222.40, 181,771.32 and 65,109.72

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Solution

The fourth proportional to 121,222.40, 181,771.32 and 65,109.72 is: 97,631.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,222.40 : 181,771.32 = 65,109.72 : x
  2. Step 2: Convert to fraction form
    121,222.40/181,771.32 = 65,109.72/x
  3. Step 3: Cross multiply
    121,222.40x = 181,771.32 × 65,109.72
  4. Step 4: Simplify right side
    121,222.40x = 11,835,079,749.23
  5. Step 5: Solve for x
    x = 11,835,079,749.23/121,222.40
  6. Step 6: Final answer
    x = 97,631.13

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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.