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Finding the Fourth Proportional to 130,128, 179,576.64 and 70,512

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Solution

The fourth proportional to 130,128, 179,576.64 and 70,512 is: 97,306.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,128 : 179,576.64 = 70,512 : x
  2. Step 2: Convert to fraction form
    130,128/179,576.64 = 70,512/x
  3. Step 3: Cross multiply
    130,128x = 179,576.64 × 70,512
  4. Step 4: Simplify right side
    130,128x = 12,662,308,039.68
  5. Step 5: Solve for x
    x = 12,662,308,039.68/130,128
  6. Step 6: Final answer
    x = 97,306.56

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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.