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Finding the Fourth Proportional to 119,155.84, 178,733.62 and 30,409.36

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Solution

The fourth proportional to 119,155.84, 178,733.62 and 30,409.36 is: 45,614.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,155.84 : 178,733.62 = 30,409.36 : x
  2. Step 2: Convert to fraction form
    119,155.84/178,733.62 = 30,409.36/x
  3. Step 3: Cross multiply
    119,155.84x = 178,733.62 × 30,409.36
  4. Step 4: Simplify right side
    119,155.84x = 5,435,174,585.86
  5. Step 5: Solve for x
    x = 5,435,174,585.86/119,155.84
  6. Step 6: Final answer
    x = 45,614.00

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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.