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Finding the Fourth Proportional to 183,088, 274,633.68 and 72,280

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Solution

The fourth proportional to 183,088, 274,633.68 and 72,280 is: 108,420.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,088 : 274,633.68 = 72,280 : x
  2. Step 2: Convert to fraction form
    183,088/274,633.68 = 72,280/x
  3. Step 3: Cross multiply
    183,088x = 274,633.68 × 72,280
  4. Step 4: Simplify right side
    183,088x = 19,850,522,390.40
  5. Step 5: Solve for x
    x = 19,850,522,390.40/183,088
  6. Step 6: Final answer
    x = 108,420.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.