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Finding the Fourth Proportional to 106,322.20, 159,483.30 and 53,178.10

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Solution

The fourth proportional to 106,322.20, 159,483.30 and 53,178.10 is: 79,767.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,322.20 : 159,483.30 = 53,178.10 : x
  2. Step 2: Convert to fraction form
    106,322.20/159,483.30 = 53,178.10/x
  3. Step 3: Cross multiply
    106,322.20x = 159,483.30 × 53,178.10
  4. Step 4: Simplify right side
    106,322.20x = 8,481,018,875.73
  5. Step 5: Solve for x
    x = 8,481,018,875.73/106,322.20
  6. Step 6: Final answer
    x = 79,767.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.