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Finding the Fourth Proportional to 78,157.36, 107,852.04 and 49,860

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Solution

The fourth proportional to 78,157.36, 107,852.04 and 49,860 is: 68,803.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,157.36 : 107,852.04 = 49,860 : x
  2. Step 2: Convert to fraction form
    78,157.36/107,852.04 = 49,860/x
  3. Step 3: Cross multiply
    78,157.36x = 107,852.04 × 49,860
  4. Step 4: Simplify right side
    78,157.36x = 5,377,502,714.40
  5. Step 5: Solve for x
    x = 5,377,502,714.40/78,157.36
  6. Step 6: Final answer
    x = 68,803.54

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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.