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Finding the Fourth Proportional to 129,772.86, 194,658.93 and 31,276.86

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Solution

The fourth proportional to 129,772.86, 194,658.93 and 31,276.86 is: 46,915.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,772.86 : 194,658.93 = 31,276.86 : x
  2. Step 2: Convert to fraction form
    129,772.86/194,658.93 = 31,276.86/x
  3. Step 3: Cross multiply
    129,772.86x = 194,658.93 × 31,276.86
  4. Step 4: Simplify right side
    129,772.86x = 6,088,320,101.36
  5. Step 5: Solve for x
    x = 6,088,320,101.36/129,772.86
  6. Step 6: Final answer
    x = 46,915.20

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1.5x scale

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.