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Finding the Fourth Proportional to 121,138.20, 181,707.30 and 54,653.40

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Solution

The fourth proportional to 121,138.20, 181,707.30 and 54,653.40 is: 81,980.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,138.20 : 181,707.30 = 54,653.40 : x
  2. Step 2: Convert to fraction form
    121,138.20/181,707.30 = 54,653.40/x
  3. Step 3: Cross multiply
    121,138.20x = 181,707.30 × 54,653.40
  4. Step 4: Simplify right side
    121,138.20x = 9,930,921,749.82
  5. Step 5: Solve for x
    x = 9,930,921,749.82/121,138.20
  6. Step 6: Final answer
    x = 81,980.10

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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.