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Finding the Fourth Proportional to 73,989.60, 102,085.97 and 42,157.82

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Solution

The fourth proportional to 73,989.60, 102,085.97 and 42,157.82 is: 58,166.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,989.60 : 102,085.97 = 42,157.82 : x
  2. Step 2: Convert to fraction form
    73,989.60/102,085.97 = 42,157.82/x
  3. Step 3: Cross multiply
    73,989.60x = 102,085.97 × 42,157.82
  4. Step 4: Simplify right side
    73,989.60x = 4,303,721,226.57
  5. Step 5: Solve for x
    x = 4,303,721,226.57/73,989.60
  6. Step 6: Final answer
    x = 58,166.57

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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.