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Finding the Fourth Proportional to 130,614, 195,757.02 and 70,640.09

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Solution

The fourth proportional to 130,614, 195,757.02 and 70,640.09 is: 105,871.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,614 : 195,757.02 = 70,640.09 : x
  2. Step 2: Convert to fraction form
    130,614/195,757.02 = 70,640.09/x
  3. Step 3: Cross multiply
    130,614x = 195,757.02 × 70,640.09
  4. Step 4: Simplify right side
    130,614x = 13,828,292,532.15
  5. Step 5: Solve for x
    x = 13,828,292,532.15/130,614
  6. Step 6: Final answer
    x = 105,871.44

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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.