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Finding the Fourth Proportional to 121,978.88, 182,676.24 and 77,466.32

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Solution

The fourth proportional to 121,978.88, 182,676.24 and 77,466.32 is: 116,013.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,978.88 : 182,676.24 = 77,466.32 : x
  2. Step 2: Convert to fraction form
    121,978.88/182,676.24 = 77,466.32/x
  3. Step 3: Cross multiply
    121,978.88x = 182,676.24 × 77,466.32
  4. Step 4: Simplify right side
    121,978.88x = 14,151,256,064.24
  5. Step 5: Solve for x
    x = 14,151,256,064.24/121,978.88
  6. Step 6: Final answer
    x = 116,013.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.