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Finding the Fourth Proportional to 84,292.40, 126,457.43 and 31,702.34

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Solution

The fourth proportional to 84,292.40, 126,457.43 and 31,702.34 is: 47,560.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,292.40 : 126,457.43 = 31,702.34 : x
  2. Step 2: Convert to fraction form
    84,292.40/126,457.43 = 31,702.34/x
  3. Step 3: Cross multiply
    84,292.40x = 126,457.43 × 31,702.34
  4. Step 4: Simplify right side
    84,292.40x = 4,008,995,650.59
  5. Step 5: Solve for x
    x = 4,008,995,650.59/84,292.40
  6. Step 6: Final answer
    x = 47,560.59

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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.