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Finding the Fourth Proportional to 130,200, 179,676 and 70,584

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Solution

The fourth proportional to 130,200, 179,676 and 70,584 is: 97,405.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,200 : 179,676 = 70,584 : x
  2. Step 2: Convert to fraction form
    130,200/179,676 = 70,584/x
  3. Step 3: Cross multiply
    130,200x = 179,676 × 70,584
  4. Step 4: Simplify right side
    130,200x = 12,682,250,784
  5. Step 5: Solve for x
    x = 12,682,250,784/130,200
  6. Step 6: Final answer
    x = 97,405.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.