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Finding the Fourth Proportional to 83,291.80, 114,941.22 and 51,021.40

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Solution

The fourth proportional to 83,291.80, 114,941.22 and 51,021.40 is: 70,408.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,291.80 : 114,941.22 = 51,021.40 : x
  2. Step 2: Convert to fraction form
    83,291.80/114,941.22 = 51,021.40/x
  3. Step 3: Cross multiply
    83,291.80x = 114,941.22 × 51,021.40
  4. Step 4: Simplify right side
    83,291.80x = 5,864,461,962.11
  5. Step 5: Solve for x
    x = 5,864,461,962.11/83,291.80
  6. Step 6: Final answer
    x = 70,408.64

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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.