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Finding the Fourth Proportional to 115,002.70, 172,512.15 and 65,106.70

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Solution

The fourth proportional to 115,002.70, 172,512.15 and 65,106.70 is: 97,664.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,002.70 : 172,512.15 = 65,106.70 : x
  2. Step 2: Convert to fraction form
    115,002.70/172,512.15 = 65,106.70/x
  3. Step 3: Cross multiply
    115,002.70x = 172,512.15 × 65,106.70
  4. Step 4: Simplify right side
    115,002.70x = 11,231,696,796.41
  5. Step 5: Solve for x
    x = 11,231,696,796.41/115,002.70
  6. Step 6: Final answer
    x = 97,664.64

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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.