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Finding the Fourth Proportional to 56,363.46, 77,784.03 and 31,212.96

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Solution

The fourth proportional to 56,363.46, 77,784.03 and 31,212.96 is: 43,075.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,363.46 : 77,784.03 = 31,212.96 : x
  2. Step 2: Convert to fraction form
    56,363.46/77,784.03 = 31,212.96/x
  3. Step 3: Cross multiply
    56,363.46x = 77,784.03 × 31,212.96
  4. Step 4: Simplify right side
    56,363.46x = 2,427,869,817.03
  5. Step 5: Solve for x
    x = 2,427,869,817.03/56,363.46
  6. Step 6: Final answer
    x = 43,075.24

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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.