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Finding the Fourth Proportional to 107,431.20, 161,146.80 and 97,408.80

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Solution

The fourth proportional to 107,431.20, 161,146.80 and 97,408.80 is: 146,113.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,431.20 : 161,146.80 = 97,408.80 : x
  2. Step 2: Convert to fraction form
    107,431.20/161,146.80 = 97,408.80/x
  3. Step 3: Cross multiply
    107,431.20x = 161,146.80 × 97,408.80
  4. Step 4: Simplify right side
    107,431.20x = 15,697,116,411.84
  5. Step 5: Solve for x
    x = 15,697,116,411.84/107,431.20
  6. Step 6: Final answer
    x = 146,113.20

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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.