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Finding the Fourth Proportional to 189,768.27, 284,701.72 and 56,648.55

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Solution

The fourth proportional to 189,768.27, 284,701.72 and 56,648.55 is: 84,987.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,768.27 : 284,701.72 = 56,648.55 : x
  2. Step 2: Convert to fraction form
    189,768.27/284,701.72 = 56,648.55/x
  3. Step 3: Cross multiply
    189,768.27x = 284,701.72 × 56,648.55
  4. Step 4: Simplify right side
    189,768.27x = 16,127,939,620.51
  5. Step 5: Solve for x
    x = 16,127,939,620.51/189,768.27
  6. Step 6: Final answer
    x = 84,987.55

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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.