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Finding the Fourth Proportional to 284,069.53, 426,175.66 and 81,666.01

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Solution

The fourth proportional to 284,069.53, 426,175.66 and 81,666.01 is: 122,519.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,069.53 : 426,175.66 = 81,666.01 : x
  2. Step 2: Convert to fraction form
    284,069.53/426,175.66 = 81,666.01/x
  3. Step 3: Cross multiply
    284,069.53x = 426,175.66 × 81,666.01
  4. Step 4: Simplify right side
    284,069.53x = 34,804,063,948.88
  5. Step 5: Solve for x
    x = 34,804,063,948.88/284,069.53
  6. Step 6: Final answer
    x = 122,519.52

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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.