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Finding the Fourth Proportional to 162,194.88, 243,289.44 and 51,384

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Solution

The fourth proportional to 162,194.88, 243,289.44 and 51,384 is: 77,075.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,194.88 : 243,289.44 = 51,384 : x
  2. Step 2: Convert to fraction form
    162,194.88/243,289.44 = 51,384/x
  3. Step 3: Cross multiply
    162,194.88x = 243,289.44 × 51,384
  4. Step 4: Simplify right side
    162,194.88x = 12,501,184,584.96
  5. Step 5: Solve for x
    x = 12,501,184,584.96/162,194.88
  6. Step 6: Final answer
    x = 77,075.09

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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.