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Finding the Fourth Proportional to 105,215.70, 157,892.60 and 38,656.38

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Solution

The fourth proportional to 105,215.70, 157,892.60 and 38,656.38 is: 58,009.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,215.70 : 157,892.60 = 38,656.38 : x
  2. Step 2: Convert to fraction form
    105,215.70/157,892.60 = 38,656.38/x
  3. Step 3: Cross multiply
    105,215.70x = 157,892.60 × 38,656.38
  4. Step 4: Simplify right side
    105,215.70x = 6,103,556,441.43
  5. Step 5: Solve for x
    x = 6,103,556,441.43/105,215.70
  6. Step 6: Final answer
    x = 58,009.94

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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.