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Finding the Fourth Proportional to 51,407.34, 70,945.80 and 31,260.48

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Solution

The fourth proportional to 51,407.34, 70,945.80 and 31,260.48 is: 43,141.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,407.34 : 70,945.80 = 31,260.48 : x
  2. Step 2: Convert to fraction form
    51,407.34/70,945.80 = 31,260.48/x
  3. Step 3: Cross multiply
    51,407.34x = 70,945.80 × 31,260.48
  4. Step 4: Simplify right side
    51,407.34x = 2,217,799,761.98
  5. Step 5: Solve for x
    x = 2,217,799,761.98/51,407.34
  6. Step 6: Final answer
    x = 43,141.69

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1.5x scale

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.