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Finding the Fourth Proportional to 75,666, 104,419.08 and 42,139.92

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Solution

The fourth proportional to 75,666, 104,419.08 and 42,139.92 is: 58,153.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,666 : 104,419.08 = 42,139.92 : x
  2. Step 2: Convert to fraction form
    75,666/104,419.08 = 42,139.92/x
  3. Step 3: Cross multiply
    75,666x = 104,419.08 × 42,139.92
  4. Step 4: Simplify right side
    75,666x = 4,400,211,677.67
  5. Step 5: Solve for x
    x = 4,400,211,677.67/75,666
  6. Step 6: Final answer
    x = 58,153.09

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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.