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Finding the Fourth Proportional to 121,820.72, 182,800.20 and 48,000.56

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Solution

The fourth proportional to 121,820.72, 182,800.20 and 48,000.56 is: 72,028.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,820.72 : 182,800.20 = 48,000.56 : x
  2. Step 2: Convert to fraction form
    121,820.72/182,800.20 = 48,000.56/x
  3. Step 3: Cross multiply
    121,820.72x = 182,800.20 × 48,000.56
  4. Step 4: Simplify right side
    121,820.72x = 8,774,511,968.11
  5. Step 5: Solve for x
    x = 8,774,511,968.11/121,820.72
  6. Step 6: Final answer
    x = 72,028.08

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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.