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Finding the Fourth Proportional to 107,655.40, 161,410.20 and 55,021.60

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Solution

The fourth proportional to 107,655.40, 161,410.20 and 55,021.60 is: 82,495.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,655.40 : 161,410.20 = 55,021.60 : x
  2. Step 2: Convert to fraction form
    107,655.40/161,410.20 = 55,021.60/x
  3. Step 3: Cross multiply
    107,655.40x = 161,410.20 × 55,021.60
  4. Step 4: Simplify right side
    107,655.40x = 8,881,047,460.32
  5. Step 5: Solve for x
    x = 8,881,047,460.32/107,655.40
  6. Step 6: Final answer
    x = 82,495.14

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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.