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Finding the Fourth Proportional to 189,632.54, 284,448.72 and 56,509.40

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Solution

The fourth proportional to 189,632.54, 284,448.72 and 56,509.40 is: 84,764.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,632.54 : 284,448.72 = 56,509.40 : x
  2. Step 2: Convert to fraction form
    189,632.54/284,448.72 = 56,509.40/x
  3. Step 3: Cross multiply
    189,632.54x = 284,448.72 × 56,509.40
  4. Step 4: Simplify right side
    189,632.54x = 16,074,026,497.97
  5. Step 5: Solve for x
    x = 16,074,026,497.97/189,632.54
  6. Step 6: Final answer
    x = 84,764.07

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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.