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Finding the Fourth Proportional to 161,443.71, 242,165.70 and 77,184

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Solution

The fourth proportional to 161,443.71, 242,165.70 and 77,184 is: 115,776.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,443.71 : 242,165.70 = 77,184 : x
  2. Step 2: Convert to fraction form
    161,443.71/242,165.70 = 77,184/x
  3. Step 3: Cross multiply
    161,443.71x = 242,165.70 × 77,184
  4. Step 4: Simplify right side
    161,443.71x = 18,691,317,388.80
  5. Step 5: Solve for x
    x = 18,691,317,388.80/161,443.71
  6. Step 6: Final answer
    x = 115,776.06

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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.