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Finding the Fourth Proportional to 56,118, 77,442.92 and 30,967.44

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Solution

The fourth proportional to 56,118, 77,442.92 and 30,967.44 is: 42,735.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,118 : 77,442.92 = 30,967.44 : x
  2. Step 2: Convert to fraction form
    56,118/77,442.92 = 30,967.44/x
  3. Step 3: Cross multiply
    56,118x = 77,442.92 × 30,967.44
  4. Step 4: Simplify right side
    56,118x = 2,398,208,978.52
  5. Step 5: Solve for x
    x = 2,398,208,978.52/56,118
  6. Step 6: Final answer
    x = 42,735.11

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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.