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Finding the Fourth Proportional to 75,658.34, 104,408.80 and 42,124.34

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Solution

The fourth proportional to 75,658.34, 104,408.80 and 42,124.34 is: 58,131.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,658.34 : 104,408.80 = 42,124.34 : x
  2. Step 2: Convert to fraction form
    75,658.34/104,408.80 = 42,124.34/x
  3. Step 3: Cross multiply
    75,658.34x = 104,408.80 × 42,124.34
  4. Step 4: Simplify right side
    75,658.34x = 4,398,151,790.19
  5. Step 5: Solve for x
    x = 4,398,151,790.19/75,658.34
  6. Step 6: Final answer
    x = 58,131.75

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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.