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Finding the Fourth Proportional to 81,897.66, 122,841.63 and 48,182.64

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Solution

The fourth proportional to 81,897.66, 122,841.63 and 48,182.64 is: 72,271.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,897.66 : 122,841.63 = 48,182.64 : x
  2. Step 2: Convert to fraction form
    81,897.66/122,841.63 = 48,182.64/x
  3. Step 3: Cross multiply
    81,897.66x = 122,841.63 × 48,182.64
  4. Step 4: Simplify right side
    81,897.66x = 5,918,834,035.30
  5. Step 5: Solve for x
    x = 5,918,834,035.30/81,897.66
  6. Step 6: Final answer
    x = 72,271.10

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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.