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Finding the Fourth Proportional to 56,692.82, 78,235.93 and 31,199.69

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Solution

The fourth proportional to 56,692.82, 78,235.93 and 31,199.69 is: 43,055.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,692.82 : 78,235.93 = 31,199.69 : x
  2. Step 2: Convert to fraction form
    56,692.82/78,235.93 = 31,199.69/x
  3. Step 3: Cross multiply
    56,692.82x = 78,235.93 × 31,199.69
  4. Step 4: Simplify right side
    56,692.82x = 2,440,936,762.86
  5. Step 5: Solve for x
    x = 2,440,936,762.86/56,692.82
  6. Step 6: Final answer
    x = 43,055.48

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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.