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Finding the Fourth Proportional to 85,368.80, 117,753.96 and 51,834.80

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Solution

The fourth proportional to 85,368.80, 117,753.96 and 51,834.80 is: 71,498.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,368.80 : 117,753.96 = 51,834.80 : x
  2. Step 2: Convert to fraction form
    85,368.80/117,753.96 = 51,834.80/x
  3. Step 3: Cross multiply
    85,368.80x = 117,753.96 × 51,834.80
  4. Step 4: Simplify right side
    85,368.80x = 6,103,752,965.81
  5. Step 5: Solve for x
    x = 6,103,752,965.81/85,368.80
  6. Step 6: Final answer
    x = 71,498.64

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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.