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Finding the Fourth Proportional to 107,424.80, 161,137.20 and 89,928.80

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Solution

The fourth proportional to 107,424.80, 161,137.20 and 89,928.80 is: 134,893.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,424.80 : 161,137.20 = 89,928.80 : x
  2. Step 2: Convert to fraction form
    107,424.80/161,137.20 = 89,928.80/x
  3. Step 3: Cross multiply
    107,424.80x = 161,137.20 × 89,928.80
  4. Step 4: Simplify right side
    107,424.80x = 14,490,875,031.36
  5. Step 5: Solve for x
    x = 14,490,875,031.36/107,424.80
  6. Step 6: Final answer
    x = 134,893.20

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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.