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Finding the Fourth Proportional to 119,122.76, 178,678.38 and 45,245

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Solution

The fourth proportional to 119,122.76, 178,678.38 and 45,245 is: 67,865.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,122.76 : 178,678.38 = 45,245 : x
  2. Step 2: Convert to fraction form
    119,122.76/178,678.38 = 45,245/x
  3. Step 3: Cross multiply
    119,122.76x = 178,678.38 × 45,245
  4. Step 4: Simplify right side
    119,122.76x = 8,084,303,303.10
  5. Step 5: Solve for x
    x = 8,084,303,303.10/119,122.76
  6. Step 6: Final answer
    x = 67,865.31

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1.5x scale

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.