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Finding the Fourth Proportional to 56,142, 77,475.96 and 30,991.68

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Solution

The fourth proportional to 56,142, 77,475.96 and 30,991.68 is: 42,768.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,142 : 77,475.96 = 30,991.68 : x
  2. Step 2: Convert to fraction form
    56,142/77,475.96 = 30,991.68/x
  3. Step 3: Cross multiply
    56,142x = 77,475.96 × 30,991.68
  4. Step 4: Simplify right side
    56,142x = 2,401,110,160.01
  5. Step 5: Solve for x
    x = 2,401,110,160.01/56,142
  6. Step 6: Final answer
    x = 42,768.52

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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.