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Finding the Fourth Proportional to 136,975.88, 205,489.74 and 77,878.28

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Solution

The fourth proportional to 136,975.88, 205,489.74 and 77,878.28 is: 116,832.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,975.88 : 205,489.74 = 77,878.28 : x
  2. Step 2: Convert to fraction form
    136,975.88/205,489.74 = 77,878.28/x
  3. Step 3: Cross multiply
    136,975.88x = 205,489.74 × 77,878.28
  4. Step 4: Simplify right side
    136,975.88x = 16,003,187,508.85
  5. Step 5: Solve for x
    x = 16,003,187,508.85/136,975.88
  6. Step 6: Final answer
    x = 116,832.16

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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.