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Finding the Fourth Proportional to 109,731, 151,428.81 and 59,430

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Solution

The fourth proportional to 109,731, 151,428.81 and 59,430 is: 82,013.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,731 : 151,428.81 = 59,430 : x
  2. Step 2: Convert to fraction form
    109,731/151,428.81 = 59,430/x
  3. Step 3: Cross multiply
    109,731x = 151,428.81 × 59,430
  4. Step 4: Simplify right side
    109,731x = 8,999,414,178.30
  5. Step 5: Solve for x
    x = 8,999,414,178.30/109,731
  6. Step 6: Final answer
    x = 82,013.42

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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.