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Finding the Fourth Proportional to 119,154.08, 178,731.02 and 30,407.60

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Solution

The fourth proportional to 119,154.08, 178,731.02 and 30,407.60 is: 45,611.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,154.08 : 178,731.02 = 30,407.60 : x
  2. Step 2: Convert to fraction form
    119,154.08/178,731.02 = 30,407.60/x
  3. Step 3: Cross multiply
    119,154.08x = 178,731.02 × 30,407.60
  4. Step 4: Simplify right side
    119,154.08x = 5,434,781,363.75
  5. Step 5: Solve for x
    x = 5,434,781,363.75/119,154.08
  6. Step 6: Final answer
    x = 45,611.37

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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.