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Finding the Fourth Proportional to 115,270, 172,905 and 32,164

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Solution

The fourth proportional to 115,270, 172,905 and 32,164 is: 48,246

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,270 : 172,905 = 32,164 : x
  2. Step 2: Convert to fraction form
    115,270/172,905 = 32,164/x
  3. Step 3: Cross multiply
    115,270x = 172,905 × 32,164
  4. Step 4: Simplify right side
    115,270x = 5,561,316,420
  5. Step 5: Solve for x
    x = 5,561,316,420/115,270
  6. Step 6: Final answer
    x = 48,246

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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.