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Finding the Fourth Proportional to 130,149, 179,605.74 and 70,533

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Solution

The fourth proportional to 130,149, 179,605.74 and 70,533 is: 97,335.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,149 : 179,605.74 = 70,533 : x
  2. Step 2: Convert to fraction form
    130,149/179,605.74 = 70,533/x
  3. Step 3: Cross multiply
    130,149x = 179,605.74 × 70,533
  4. Step 4: Simplify right side
    130,149x = 12,668,131,659.42
  5. Step 5: Solve for x
    x = 12,668,131,659.42/130,149
  6. Step 6: Final answer
    x = 97,335.61

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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.