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Finding the Fourth Proportional to 105,170.63, 157,755.94 and 31,298.63

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Solution

The fourth proportional to 105,170.63, 157,755.94 and 31,298.63 is: 46,947.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,170.63 : 157,755.94 = 31,298.63 : x
  2. Step 2: Convert to fraction form
    105,170.63/157,755.94 = 31,298.63/x
  3. Step 3: Cross multiply
    105,170.63x = 157,755.94 × 31,298.63
  4. Step 4: Simplify right side
    105,170.63x = 4,937,543,929.34
  5. Step 5: Solve for x
    x = 4,937,543,929.34/105,170.63
  6. Step 6: Final answer
    x = 46,947.94

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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.