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Finding the Fourth Proportional to 102,086.48, 153,119.73 and 31,009.73

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Solution

The fourth proportional to 102,086.48, 153,119.73 and 31,009.73 is: 46,511.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,086.48 : 153,119.73 = 31,009.73 : x
  2. Step 2: Convert to fraction form
    102,086.48/153,119.73 = 31,009.73/x
  3. Step 3: Cross multiply
    102,086.48x = 153,119.73 × 31,009.73
  4. Step 4: Simplify right side
    102,086.48x = 4,748,201,484.97
  5. Step 5: Solve for x
    x = 4,748,201,484.97/102,086.48
  6. Step 6: Final answer
    x = 46,511.56

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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.