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Finding the Fourth Proportional to 56,761.49, 78,321.48 and 34,405.49

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Solution

The fourth proportional to 56,761.49, 78,321.48 and 34,405.49 is: 47,473.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,761.49 : 78,321.48 = 34,405.49 : x
  2. Step 2: Convert to fraction form
    56,761.49/78,321.48 = 34,405.49/x
  3. Step 3: Cross multiply
    56,761.49x = 78,321.48 × 34,405.49
  4. Step 4: Simplify right side
    56,761.49x = 2,694,688,896.93
  5. Step 5: Solve for x
    x = 2,694,688,896.93/56,761.49
  6. Step 6: Final answer
    x = 47,473.89

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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.