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Finding the Fourth Proportional to 75,681, 104,443.02 and 42,147

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Solution

The fourth proportional to 75,681, 104,443.02 and 42,147 is: 58,164.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,681 : 104,443.02 = 42,147 : x
  2. Step 2: Convert to fraction form
    75,681/104,443.02 = 42,147/x
  3. Step 3: Cross multiply
    75,681x = 104,443.02 × 42,147
  4. Step 4: Simplify right side
    75,681x = 4,401,959,963.94
  5. Step 5: Solve for x
    x = 4,401,959,963.94/75,681
  6. Step 6: Final answer
    x = 58,164.66

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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.