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Finding the Fourth Proportional to 161,308.32, 242,011.70 and 82,477.92

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Solution

The fourth proportional to 161,308.32, 242,011.70 and 82,477.92 is: 123,742.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,308.32 : 242,011.70 = 82,477.92 : x
  2. Step 2: Convert to fraction form
    161,308.32/242,011.70 = 82,477.92/x
  3. Step 3: Cross multiply
    161,308.32x = 242,011.70 × 82,477.92
  4. Step 4: Simplify right side
    161,308.32x = 19,960,621,631.66
  5. Step 5: Solve for x
    x = 19,960,621,631.66/161,308.32
  6. Step 6: Final answer
    x = 123,742.05

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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.