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Finding the Fourth Proportional to 115,021, 172,531.50 and 31,915

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Solution

The fourth proportional to 115,021, 172,531.50 and 31,915 is: 47,872.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,021 : 172,531.50 = 31,915 : x
  2. Step 2: Convert to fraction form
    115,021/172,531.50 = 31,915/x
  3. Step 3: Cross multiply
    115,021x = 172,531.50 × 31,915
  4. Step 4: Simplify right side
    115,021x = 5,506,342,822.50
  5. Step 5: Solve for x
    x = 5,506,342,822.50/115,021
  6. Step 6: Final answer
    x = 47,872.50

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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.