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Finding the Fourth Proportional to 121,345.43, 181,629.34 and 65,047.19

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Solution

The fourth proportional to 121,345.43, 181,629.34 and 65,047.19 is: 97,362.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,345.43 : 181,629.34 = 65,047.19 : x
  2. Step 2: Convert to fraction form
    121,345.43/181,629.34 = 65,047.19/x
  3. Step 3: Cross multiply
    121,345.43x = 181,629.34 × 65,047.19
  4. Step 4: Simplify right side
    121,345.43x = 11,814,477,117.79
  5. Step 5: Solve for x
    x = 11,814,477,117.79/121,345.43
  6. Step 6: Final answer
    x = 97,362.36

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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.