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Finding the Fourth Proportional to 162,641.80, 243,822.36 and 78,285.88

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Solution

The fourth proportional to 162,641.80, 243,822.36 and 78,285.88 is: 117,361.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,641.80 : 243,822.36 = 78,285.88 : x
  2. Step 2: Convert to fraction form
    162,641.80/243,822.36 = 78,285.88/x
  3. Step 3: Cross multiply
    162,641.80x = 243,822.36 × 78,285.88
  4. Step 4: Simplify right side
    162,641.80x = 19,087,848,016.28
  5. Step 5: Solve for x
    x = 19,087,848,016.28/162,641.80
  6. Step 6: Final answer
    x = 117,361.27

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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.