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Finding the Fourth Proportional to 72,558.12, 100,137.06 and 42,341

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Solution

The fourth proportional to 72,558.12, 100,137.06 and 42,341 is: 58,434.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,558.12 : 100,137.06 = 42,341 : x
  2. Step 2: Convert to fraction form
    72,558.12/100,137.06 = 42,341/x
  3. Step 3: Cross multiply
    72,558.12x = 100,137.06 × 42,341
  4. Step 4: Simplify right side
    72,558.12x = 4,239,903,257.46
  5. Step 5: Solve for x
    x = 4,239,903,257.46/72,558.12
  6. Step 6: Final answer
    x = 58,434.58

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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.