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Finding the Fourth Proportional to 75,829, 104,647.26 and 42,295

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Solution

The fourth proportional to 75,829, 104,647.26 and 42,295 is: 58,368.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,829 : 104,647.26 = 42,295 : x
  2. Step 2: Convert to fraction form
    75,829/104,647.26 = 42,295/x
  3. Step 3: Cross multiply
    75,829x = 104,647.26 × 42,295
  4. Step 4: Simplify right side
    75,829x = 4,426,055,861.70
  5. Step 5: Solve for x
    x = 4,426,055,861.70/75,829
  6. Step 6: Final answer
    x = 58,368.91

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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.