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Finding the Fourth Proportional to 115,223.54, 172,835.10 and 45,053.64

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Solution

The fourth proportional to 115,223.54, 172,835.10 and 45,053.64 is: 67,580.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,223.54 : 172,835.10 = 45,053.64 : x
  2. Step 2: Convert to fraction form
    115,223.54/172,835.10 = 45,053.64/x
  3. Step 3: Cross multiply
    115,223.54x = 172,835.10 × 45,053.64
  4. Step 4: Simplify right side
    115,223.54x = 7,786,850,374.76
  5. Step 5: Solve for x
    x = 7,786,850,374.76/115,223.54
  6. Step 6: Final answer
    x = 67,580.38

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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.