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Finding the Fourth Proportional to 283,592, 425,457.12 and 86,600

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Solution

The fourth proportional to 283,592, 425,457.12 and 86,600 is: 129,921.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,592 : 425,457.12 = 86,600 : x
  2. Step 2: Convert to fraction form
    283,592/425,457.12 = 86,600/x
  3. Step 3: Cross multiply
    283,592x = 425,457.12 × 86,600
  4. Step 4: Simplify right side
    283,592x = 36,844,586,592
  5. Step 5: Solve for x
    x = 36,844,586,592/283,592
  6. Step 6: Final answer
    x = 129,921.11

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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.