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Finding the Fourth Proportional to 75,683.76, 104,446.82 and 42,149.76

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Solution

The fourth proportional to 75,683.76, 104,446.82 and 42,149.76 is: 58,168.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,683.76 : 104,446.82 = 42,149.76 : x
  2. Step 2: Convert to fraction form
    75,683.76/104,446.82 = 42,149.76/x
  3. Step 3: Cross multiply
    75,683.76x = 104,446.82 × 42,149.76
  4. Step 4: Simplify right side
    75,683.76x = 4,402,408,395.76
  5. Step 5: Solve for x
    x = 4,402,408,395.76/75,683.76
  6. Step 6: Final answer
    x = 58,168.47

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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.