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Finding the Fourth Proportional to 129,648, 178,914.40 and 70,032

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Solution

The fourth proportional to 129,648, 178,914.40 and 70,032 is: 96,644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,648 : 178,914.40 = 70,032 : x
  2. Step 2: Convert to fraction form
    129,648/178,914.40 = 70,032/x
  3. Step 3: Cross multiply
    129,648x = 178,914.40 × 70,032
  4. Step 4: Simplify right side
    129,648x = 12,529,733,260.80
  5. Step 5: Solve for x
    x = 12,529,733,260.80/129,648
  6. Step 6: Final answer
    x = 96,644.25

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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.