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Finding the Fourth Proportional to 172,656.24, 258,983.74 and 77,775.36

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Solution

The fourth proportional to 172,656.24, 258,983.74 and 77,775.36 is: 116,662.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,656.24 : 258,983.74 = 77,775.36 : x
  2. Step 2: Convert to fraction form
    172,656.24/258,983.74 = 77,775.36/x
  3. Step 3: Cross multiply
    172,656.24x = 258,983.74 × 77,775.36
  4. Step 4: Simplify right side
    172,656.24x = 20,142,553,612.65
  5. Step 5: Solve for x
    x = 20,142,553,612.65/172,656.24
  6. Step 6: Final answer
    x = 116,662.76

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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.