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Finding the Fourth Proportional to 268,970.58, 403,516.35 and 82,000.98

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Solution

The fourth proportional to 268,970.58, 403,516.35 and 82,000.98 is: 123,019.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,970.58 : 403,516.35 = 82,000.98 : x
  2. Step 2: Convert to fraction form
    268,970.58/403,516.35 = 82,000.98/x
  3. Step 3: Cross multiply
    268,970.58x = 403,516.35 × 82,000.98
  4. Step 4: Simplify right side
    268,970.58x = 33,088,736,146.02
  5. Step 5: Solve for x
    x = 33,088,736,146.02/268,970.58
  6. Step 6: Final answer
    x = 123,019.91

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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.