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Finding the Fourth Proportional to 119,263.95, 178,894.98 and 30,517.20

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Solution

The fourth proportional to 119,263.95, 178,894.98 and 30,517.20 is: 45,775.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,263.95 : 178,894.98 = 30,517.20 : x
  2. Step 2: Convert to fraction form
    119,263.95/178,894.98 = 30,517.20/x
  3. Step 3: Cross multiply
    119,263.95x = 178,894.98 × 30,517.20
  4. Step 4: Simplify right side
    119,263.95x = 5,459,373,883.66
  5. Step 5: Solve for x
    x = 5,459,373,883.66/119,263.95
  6. Step 6: Final answer
    x = 45,775.56

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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.