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Finding the Fourth Proportional to 122,788, 169,449.36 and 78,136.48

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Solution

The fourth proportional to 122,788, 169,449.36 and 78,136.48 is: 107,829.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,788 : 169,449.36 = 78,136.48 : x
  2. Step 2: Convert to fraction form
    122,788/169,449.36 = 78,136.48/x
  3. Step 3: Cross multiply
    122,788x = 169,449.36 × 78,136.48
  4. Step 4: Simplify right side
    122,788x = 13,240,176,528.65
  5. Step 5: Solve for x
    x = 13,240,176,528.65/122,788
  6. Step 6: Final answer
    x = 107,829.56

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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.