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Finding the Fourth Proportional to 102,854.52, 154,297.98 and 43,690.50

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Solution

The fourth proportional to 102,854.52, 154,297.98 and 43,690.50 is: 65,542.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,854.52 : 154,297.98 = 43,690.50 : x
  2. Step 2: Convert to fraction form
    102,854.52/154,297.98 = 43,690.50/x
  3. Step 3: Cross multiply
    102,854.52x = 154,297.98 × 43,690.50
  4. Step 4: Simplify right side
    102,854.52x = 6,741,355,895.19
  5. Step 5: Solve for x
    x = 6,741,355,895.19/102,854.52
  6. Step 6: Final answer
    x = 65,542.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.