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Finding the Fourth Proportional to 162,122.88, 243,181.44 and 51,312

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Solution

The fourth proportional to 162,122.88, 243,181.44 and 51,312 is: 76,967.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,122.88 : 243,181.44 = 51,312 : x
  2. Step 2: Convert to fraction form
    162,122.88/243,181.44 = 51,312/x
  3. Step 3: Cross multiply
    162,122.88x = 243,181.44 × 51,312
  4. Step 4: Simplify right side
    162,122.88x = 12,478,126,049.28
  5. Step 5: Solve for x
    x = 12,478,126,049.28/162,122.88
  6. Step 6: Final answer
    x = 76,967.09

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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.