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Finding the Fourth Proportional to 107,655, 161,435.38 and 54,314.16

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Solution

The fourth proportional to 107,655, 161,435.38 and 54,314.16 is: 81,447.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,655 : 161,435.38 = 54,314.16 : x
  2. Step 2: Convert to fraction form
    107,655/161,435.38 = 54,314.16/x
  3. Step 3: Cross multiply
    107,655x = 161,435.38 × 54,314.16
  4. Step 4: Simplify right side
    107,655x = 8,768,227,058.98
  5. Step 5: Solve for x
    x = 8,768,227,058.98/107,655
  6. Step 6: Final answer
    x = 81,447.47

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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.