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Finding the Fourth Proportional to 130,009, 195,013.50 and 31,513

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Solution

The fourth proportional to 130,009, 195,013.50 and 31,513 is: 47,269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,009 : 195,013.50 = 31,513 : x
  2. Step 2: Convert to fraction form
    130,009/195,013.50 = 31,513/x
  3. Step 3: Cross multiply
    130,009x = 195,013.50 × 31,513
  4. Step 4: Simplify right side
    130,009x = 6,145,460,425.50
  5. Step 5: Solve for x
    x = 6,145,460,425.50/130,009
  6. Step 6: Final answer
    x = 47,269.50

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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.