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Finding the Fourth Proportional to 56,147.68, 77,483.64 and 30,997

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Solution

The fourth proportional to 56,147.68, 77,483.64 and 30,997 is: 42,775.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,147.68 : 77,483.64 = 30,997 : x
  2. Step 2: Convert to fraction form
    56,147.68/77,483.64 = 30,997/x
  3. Step 3: Cross multiply
    56,147.68x = 77,483.64 × 30,997
  4. Step 4: Simplify right side
    56,147.68x = 2,401,760,389.08
  5. Step 5: Solve for x
    x = 2,401,760,389.08/56,147.68
  6. Step 6: Final answer
    x = 42,775.77

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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.