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Finding the Fourth Proportional to 102,693.74, 153,789.02 and 84,815.01

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Solution

The fourth proportional to 102,693.74, 153,789.02 and 84,815.01 is: 127,014.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,693.74 : 153,789.02 = 84,815.01 : x
  2. Step 2: Convert to fraction form
    102,693.74/153,789.02 = 84,815.01/x
  3. Step 3: Cross multiply
    102,693.74x = 153,789.02 × 84,815.01
  4. Step 4: Simplify right side
    102,693.74x = 13,043,616,845.12
  5. Step 5: Solve for x
    x = 13,043,616,845.12/102,693.74
  6. Step 6: Final answer
    x = 127,014.73

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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.