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Finding the Fourth Proportional to 130,011, 195,016.50 and 31,515

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Solution

The fourth proportional to 130,011, 195,016.50 and 31,515 is: 47,272.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,011 : 195,016.50 = 31,515 : x
  2. Step 2: Convert to fraction form
    130,011/195,016.50 = 31,515/x
  3. Step 3: Cross multiply
    130,011x = 195,016.50 × 31,515
  4. Step 4: Simplify right side
    130,011x = 6,145,944,997.50
  5. Step 5: Solve for x
    x = 6,145,944,997.50/130,011
  6. Step 6: Final answer
    x = 47,272.50

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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.