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Finding the Fourth Proportional to 189,518.48, 284,220.72 and 156,155.84

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Solution

The fourth proportional to 189,518.48, 284,220.72 and 156,155.84 is: 234,186.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,518.48 : 284,220.72 = 156,155.84 : x
  2. Step 2: Convert to fraction form
    189,518.48/284,220.72 = 156,155.84/x
  3. Step 3: Cross multiply
    189,518.48x = 284,220.72 × 156,155.84
  4. Step 4: Simplify right side
    189,518.48x = 44,382,725,277.00
  5. Step 5: Solve for x
    x = 44,382,725,277.00/189,518.48
  6. Step 6: Final answer
    x = 234,186.79

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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.