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Finding the Fourth Proportional to 81,978.30, 122,967.45 and 48,800.70

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Solution

The fourth proportional to 81,978.30, 122,967.45 and 48,800.70 is: 73,201.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,978.30 : 122,967.45 = 48,800.70 : x
  2. Step 2: Convert to fraction form
    81,978.30/122,967.45 = 48,800.70/x
  3. Step 3: Cross multiply
    81,978.30x = 122,967.45 × 48,800.70
  4. Step 4: Simplify right side
    81,978.30x = 6,000,897,637.22
  5. Step 5: Solve for x
    x = 6,000,897,637.22/81,978.30
  6. Step 6: Final answer
    x = 73,201.05

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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.