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Finding the Fourth Proportional to 84,000.30, 125,951.85 and 31,415.10

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Solution

The fourth proportional to 84,000.30, 125,951.85 and 31,415.10 is: 47,104.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,000.30 : 125,951.85 = 31,415.10 : x
  2. Step 2: Convert to fraction form
    84,000.30/125,951.85 = 31,415.10/x
  3. Step 3: Cross multiply
    84,000.30x = 125,951.85 × 31,415.10
  4. Step 4: Simplify right side
    84,000.30x = 3,956,789,962.94
  5. Step 5: Solve for x
    x = 3,956,789,962.94/84,000.30
  6. Step 6: Final answer
    x = 47,104.47

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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.