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Finding the Fourth Proportional to 161,711.62, 242,678.13 and 56,530.78

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Solution

The fourth proportional to 161,711.62, 242,678.13 and 56,530.78 is: 84,834.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,711.62 : 242,678.13 = 56,530.78 : x
  2. Step 2: Convert to fraction form
    161,711.62/242,678.13 = 56,530.78/x
  3. Step 3: Cross multiply
    161,711.62x = 242,678.13 × 56,530.78
  4. Step 4: Simplify right side
    161,711.62x = 13,718,783,977.84
  5. Step 5: Solve for x
    x = 13,718,783,977.84/161,711.62
  6. Step 6: Final answer
    x = 84,834.87

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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.