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Finding the Fourth Proportional to 115,205.01, 172,671.72 and 51,951.07

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Solution

The fourth proportional to 115,205.01, 172,671.72 and 51,951.07 is: 77,865.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,205.01 : 172,671.72 = 51,951.07 : x
  2. Step 2: Convert to fraction form
    115,205.01/172,671.72 = 51,951.07/x
  3. Step 3: Cross multiply
    115,205.01x = 172,671.72 × 51,951.07
  4. Step 4: Simplify right side
    115,205.01x = 8,970,480,612.74
  5. Step 5: Solve for x
    x = 8,970,480,612.74/115,205.01
  6. Step 6: Final answer
    x = 77,865.37

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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.