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Finding the Fourth Proportional to 75,058.68, 103,666.01 and 51,143.84

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Solution

The fourth proportional to 75,058.68, 103,666.01 and 51,143.84 is: 70,636.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,058.68 : 103,666.01 = 51,143.84 : x
  2. Step 2: Convert to fraction form
    75,058.68/103,666.01 = 51,143.84/x
  3. Step 3: Cross multiply
    75,058.68x = 103,666.01 × 51,143.84
  4. Step 4: Simplify right side
    75,058.68x = 5,301,877,310.55
  5. Step 5: Solve for x
    x = 5,301,877,310.55/75,058.68
  6. Step 6: Final answer
    x = 70,636.43

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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.