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Finding the Fourth Proportional to 72,041, 99,428.10 and 42,233

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Solution

The fourth proportional to 72,041, 99,428.10 and 42,233 is: 58,288.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,041 : 99,428.10 = 42,233 : x
  2. Step 2: Convert to fraction form
    72,041/99,428.10 = 42,233/x
  3. Step 3: Cross multiply
    72,041x = 99,428.10 × 42,233
  4. Step 4: Simplify right side
    72,041x = 4,199,146,947.30
  5. Step 5: Solve for x
    x = 4,199,146,947.30/72,041
  6. Step 6: Final answer
    x = 58,288.29

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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.