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Finding the Fourth Proportional to 129,648, 178,909.76 and 73,056

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Solution

The fourth proportional to 129,648, 178,909.76 and 73,056 is: 100,814.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,648 : 178,909.76 = 73,056 : x
  2. Step 2: Convert to fraction form
    129,648/178,909.76 = 73,056/x
  3. Step 3: Cross multiply
    129,648x = 178,909.76 × 73,056
  4. Step 4: Simplify right side
    129,648x = 13,070,431,426.56
  5. Step 5: Solve for x
    x = 13,070,431,426.56/129,648
  6. Step 6: Final answer
    x = 100,814.76

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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.