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Finding the Fourth Proportional to 75,846.75, 104,671.80 and 42,312.75

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Solution

The fourth proportional to 75,846.75, 104,671.80 and 42,312.75 is: 58,393.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,846.75 : 104,671.80 = 42,312.75 : x
  2. Step 2: Convert to fraction form
    75,846.75/104,671.80 = 42,312.75/x
  3. Step 3: Cross multiply
    75,846.75x = 104,671.80 × 42,312.75
  4. Step 4: Simplify right side
    75,846.75x = 4,428,951,705.45
  5. Step 5: Solve for x
    x = 4,428,951,705.45/75,846.75
  6. Step 6: Final answer
    x = 58,393.43

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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.