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Finding the Fourth Proportional to 129,784, 179,102.10 and 70,168

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Solution

The fourth proportional to 129,784, 179,102.10 and 70,168 is: 96,831.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,784 : 179,102.10 = 70,168 : x
  2. Step 2: Convert to fraction form
    129,784/179,102.10 = 70,168/x
  3. Step 3: Cross multiply
    129,784x = 179,102.10 × 70,168
  4. Step 4: Simplify right side
    129,784x = 12,567,236,152.80
  5. Step 5: Solve for x
    x = 12,567,236,152.80/129,784
  6. Step 6: Final answer
    x = 96,831.94

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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.