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Finding the Fourth Proportional to 205,008.40, 307,461.57 and 71,893

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Solution

The fourth proportional to 205,008.40, 307,461.57 and 71,893 is: 107,821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,008.40 : 307,461.57 = 71,893 : x
  2. Step 2: Convert to fraction form
    205,008.40/307,461.57 = 71,893/x
  3. Step 3: Cross multiply
    205,008.40x = 307,461.57 × 71,893
  4. Step 4: Simplify right side
    205,008.40x = 22,104,334,652.01
  5. Step 5: Solve for x
    x = 22,104,334,652.01/205,008.40
  6. Step 6: Final answer
    x = 107,821.60

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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.