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Finding the Fourth Proportional to 316,953.72, 475,445.16 and 129,834

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Solution

The fourth proportional to 316,953.72, 475,445.16 and 129,834 is: 194,756.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,953.72 : 475,445.16 = 129,834 : x
  2. Step 2: Convert to fraction form
    316,953.72/475,445.16 = 129,834/x
  3. Step 3: Cross multiply
    316,953.72x = 475,445.16 × 129,834
  4. Step 4: Simplify right side
    316,953.72x = 61,728,946,903.44
  5. Step 5: Solve for x
    x = 61,728,946,903.44/316,953.72
  6. Step 6: Final answer
    x = 194,756.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.