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Finding the Fourth Proportional to 115,005, 172,507.50 and 31,899

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Solution

The fourth proportional to 115,005, 172,507.50 and 31,899 is: 47,848.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,005 : 172,507.50 = 31,899 : x
  2. Step 2: Convert to fraction form
    115,005/172,507.50 = 31,899/x
  3. Step 3: Cross multiply
    115,005x = 172,507.50 × 31,899
  4. Step 4: Simplify right side
    115,005x = 5,502,816,742.50
  5. Step 5: Solve for x
    x = 5,502,816,742.50/115,005
  6. Step 6: Final answer
    x = 47,848.50

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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.