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Finding the Fourth Proportional to 107,654, 161,433.88 and 54,313.16

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Solution

The fourth proportional to 107,654, 161,433.88 and 54,313.16 is: 81,445.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,654 : 161,433.88 = 54,313.16 : x
  2. Step 2: Convert to fraction form
    107,654/161,433.88 = 54,313.16/x
  3. Step 3: Cross multiply
    107,654x = 161,433.88 × 54,313.16
  4. Step 4: Simplify right side
    107,654x = 8,767,984,153.86
  5. Step 5: Solve for x
    x = 8,767,984,153.86/107,654
  6. Step 6: Final answer
    x = 81,445.97

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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.