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Finding the Fourth Proportional to 52,031.81, 71,804.12 and 28,158.48

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Solution

The fourth proportional to 52,031.81, 71,804.12 and 28,158.48 is: 38,858.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,031.81 : 71,804.12 = 28,158.48 : x
  2. Step 2: Convert to fraction form
    52,031.81/71,804.12 = 28,158.48/x
  3. Step 3: Cross multiply
    52,031.81x = 71,804.12 × 28,158.48
  4. Step 4: Simplify right side
    52,031.81x = 2,021,894,736.15
  5. Step 5: Solve for x
    x = 2,021,894,736.15/52,031.81
  6. Step 6: Final answer
    x = 38,858.82

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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.