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Finding the Fourth Proportional to 119,158.58, 178,737.78 and 30,412.10

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Solution

The fourth proportional to 119,158.58, 178,737.78 and 30,412.10 is: 45,618.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,158.58 : 178,737.78 = 30,412.10 : x
  2. Step 2: Convert to fraction form
    119,158.58/178,737.78 = 30,412.10/x
  3. Step 3: Cross multiply
    119,158.58x = 178,737.78 × 30,412.10
  4. Step 4: Simplify right side
    119,158.58x = 5,435,791,239.14
  5. Step 5: Solve for x
    x = 5,435,791,239.14/119,158.58
  6. Step 6: Final answer
    x = 45,618.13

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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.