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Finding the Fourth Proportional to 121,257.60, 181,843.20 and 42,374.40

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Solution

The fourth proportional to 121,257.60, 181,843.20 and 42,374.40 is: 63,546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,257.60 : 181,843.20 = 42,374.40 : x
  2. Step 2: Convert to fraction form
    121,257.60/181,843.20 = 42,374.40/x
  3. Step 3: Cross multiply
    121,257.60x = 181,843.20 × 42,374.40
  4. Step 4: Simplify right side
    121,257.60x = 7,705,496,494.08
  5. Step 5: Solve for x
    x = 7,705,496,494.08/121,257.60
  6. Step 6: Final answer
    x = 63,546.50

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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.