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Finding the Fourth Proportional to 57,037.94, 78,712.90 and 31,543

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Solution

The fourth proportional to 57,037.94, 78,712.90 and 31,543 is: 43,529.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,037.94 : 78,712.90 = 31,543 : x
  2. Step 2: Convert to fraction form
    57,037.94/78,712.90 = 31,543/x
  3. Step 3: Cross multiply
    57,037.94x = 78,712.90 × 31,543
  4. Step 4: Simplify right side
    57,037.94x = 2,482,841,004.70
  5. Step 5: Solve for x
    x = 2,482,841,004.70/57,037.94
  6. Step 6: Final answer
    x = 43,529.64

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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.