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Finding the Fourth Proportional to 102,784.64, 154,083.40 and 39,564.40

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Solution

The fourth proportional to 102,784.64, 154,083.40 and 39,564.40 is: 59,310.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,784.64 : 154,083.40 = 39,564.40 : x
  2. Step 2: Convert to fraction form
    102,784.64/154,083.40 = 39,564.40/x
  3. Step 3: Cross multiply
    102,784.64x = 154,083.40 × 39,564.40
  4. Step 4: Simplify right side
    102,784.64x = 6,096,217,270.96
  5. Step 5: Solve for x
    x = 6,096,217,270.96/102,784.64
  6. Step 6: Final answer
    x = 59,310.59

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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.