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Finding the Fourth Proportional to 72,942, 100,660.02 and 39,408

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Solution

The fourth proportional to 72,942, 100,660.02 and 39,408 is: 54,383.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,942 : 100,660.02 = 39,408 : x
  2. Step 2: Convert to fraction form
    72,942/100,660.02 = 39,408/x
  3. Step 3: Cross multiply
    72,942x = 100,660.02 × 39,408
  4. Step 4: Simplify right side
    72,942x = 3,966,810,068.16
  5. Step 5: Solve for x
    x = 3,966,810,068.16/72,942
  6. Step 6: Final answer
    x = 54,383.07

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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.