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Finding the Fourth Proportional to 56,056, 77,357.64 and 30,905.68

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Solution

The fourth proportional to 56,056, 77,357.64 and 30,905.68 is: 42,650.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,056 : 77,357.64 = 30,905.68 : x
  2. Step 2: Convert to fraction form
    56,056/77,357.64 = 30,905.68/x
  3. Step 3: Cross multiply
    56,056x = 77,357.64 × 30,905.68
  4. Step 4: Simplify right side
    56,056x = 2,390,790,467.40
  5. Step 5: Solve for x
    x = 2,390,790,467.40/56,056
  6. Step 6: Final answer
    x = 42,650.04

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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.