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Finding the Fourth Proportional to 161,730.66, 223,189.86 and 89,136.20

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Solution

The fourth proportional to 161,730.66, 223,189.86 and 89,136.20 is: 123,008.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,730.66 : 223,189.86 = 89,136.20 : x
  2. Step 2: Convert to fraction form
    161,730.66/223,189.86 = 89,136.20/x
  3. Step 3: Cross multiply
    161,730.66x = 223,189.86 × 89,136.20
  4. Step 4: Simplify right side
    161,730.66x = 19,894,294,882.98
  5. Step 5: Solve for x
    x = 19,894,294,882.98/161,730.66
  6. Step 6: Final answer
    x = 123,008.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.