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Finding the Fourth Proportional to 77,283, 106,650.54 and 43,749

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Solution

The fourth proportional to 77,283, 106,650.54 and 43,749 is: 60,373.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,283 : 106,650.54 = 43,749 : x
  2. Step 2: Convert to fraction form
    77,283/106,650.54 = 43,749/x
  3. Step 3: Cross multiply
    77,283x = 106,650.54 × 43,749
  4. Step 4: Simplify right side
    77,283x = 4,665,854,474.46
  5. Step 5: Solve for x
    x = 4,665,854,474.46/77,283
  6. Step 6: Final answer
    x = 60,373.62

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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.