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Finding the Fourth Proportional to 56,457, 77,909.76 and 30,963.96

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Solution

The fourth proportional to 56,457, 77,909.76 and 30,963.96 is: 42,729.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,457 : 77,909.76 = 30,963.96 : x
  2. Step 2: Convert to fraction form
    56,457/77,909.76 = 30,963.96/x
  3. Step 3: Cross multiply
    56,457x = 77,909.76 × 30,963.96
  4. Step 4: Simplify right side
    56,457x = 2,412,394,692.25
  5. Step 5: Solve for x
    x = 2,412,394,692.25/56,457
  6. Step 6: Final answer
    x = 42,729.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.