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Finding the Fourth Proportional to 51,630.48, 77,446.80 and 28,207.44

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Solution

The fourth proportional to 51,630.48, 77,446.80 and 28,207.44 is: 42,311.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,630.48 : 77,446.80 = 28,207.44 : x
  2. Step 2: Convert to fraction form
    51,630.48/77,446.80 = 28,207.44/x
  3. Step 3: Cross multiply
    51,630.48x = 77,446.80 × 28,207.44
  4. Step 4: Simplify right side
    51,630.48x = 2,184,575,964.19
  5. Step 5: Solve for x
    x = 2,184,575,964.19/51,630.48
  6. Step 6: Final answer
    x = 42,311.75

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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.