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Finding the Fourth Proportional to 102,544.90, 153,558.15 and 81,808.90

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Solution

The fourth proportional to 102,544.90, 153,558.15 and 81,808.90 is: 122,506.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,544.90 : 153,558.15 = 81,808.90 : x
  2. Step 2: Convert to fraction form
    102,544.90/153,558.15 = 81,808.90/x
  3. Step 3: Cross multiply
    102,544.90x = 153,558.15 × 81,808.90
  4. Step 4: Simplify right side
    102,544.90x = 12,562,423,337.54
  5. Step 5: Solve for x
    x = 12,562,423,337.54/102,544.90
  6. Step 6: Final answer
    x = 122,506.56

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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.