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Finding the Fourth Proportional to 121,212.60, 181,689.30 and 54,641.40

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Solution

The fourth proportional to 121,212.60, 181,689.30 and 54,641.40 is: 81,903.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,212.60 : 181,689.30 = 54,641.40 : x
  2. Step 2: Convert to fraction form
    121,212.60/181,689.30 = 54,641.40/x
  3. Step 3: Cross multiply
    121,212.60x = 181,689.30 × 54,641.40
  4. Step 4: Simplify right side
    121,212.60x = 9,927,757,717.02
  5. Step 5: Solve for x
    x = 9,927,757,717.02/121,212.60
  6. Step 6: Final answer
    x = 81,903.68

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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.