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Finding the Fourth Proportional to 105,881.31, 146,116.31 and 57,483.20

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Solution

The fourth proportional to 105,881.31, 146,116.31 and 57,483.20 is: 79,326.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,881.31 : 146,116.31 = 57,483.20 : x
  2. Step 2: Convert to fraction form
    105,881.31/146,116.31 = 57,483.20/x
  3. Step 3: Cross multiply
    105,881.31x = 146,116.31 × 57,483.20
  4. Step 4: Simplify right side
    105,881.31x = 8,399,232,052.99
  5. Step 5: Solve for x
    x = 8,399,232,052.99/105,881.31
  6. Step 6: Final answer
    x = 79,326.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.