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Finding the Fourth Proportional to 51,854.09, 71,408.05 and 45,045

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Solution

The fourth proportional to 51,854.09, 71,408.05 and 45,045 is: 62,031.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,854.09 : 71,408.05 = 45,045 : x
  2. Step 2: Convert to fraction form
    51,854.09/71,408.05 = 45,045/x
  3. Step 3: Cross multiply
    51,854.09x = 71,408.05 × 45,045
  4. Step 4: Simplify right side
    51,854.09x = 3,216,575,612.25
  5. Step 5: Solve for x
    x = 3,216,575,612.25/51,854.09
  6. Step 6: Final answer
    x = 62,031.28

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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.