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Finding the Fourth Proportional to 119,177.98, 178,766.94 and 30,428.30

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Solution

The fourth proportional to 119,177.98, 178,766.94 and 30,428.30 is: 45,642.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,177.98 : 178,766.94 = 30,428.30 : x
  2. Step 2: Convert to fraction form
    119,177.98/178,766.94 = 30,428.30/x
  3. Step 3: Cross multiply
    119,177.98x = 178,766.94 × 30,428.30
  4. Step 4: Simplify right side
    119,177.98x = 5,439,574,080.40
  5. Step 5: Solve for x
    x = 5,439,574,080.40/119,177.98
  6. Step 6: Final answer
    x = 45,642.44

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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.