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Finding the Fourth Proportional to 56,809.84, 85,225.56 and 25,645

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Solution

The fourth proportional to 56,809.84, 85,225.56 and 25,645 is: 38,472.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,809.84 : 85,225.56 = 25,645 : x
  2. Step 2: Convert to fraction form
    56,809.84/85,225.56 = 25,645/x
  3. Step 3: Cross multiply
    56,809.84x = 85,225.56 × 25,645
  4. Step 4: Simplify right side
    56,809.84x = 2,185,609,486.20
  5. Step 5: Solve for x
    x = 2,185,609,486.20/56,809.84
  6. Step 6: Final answer
    x = 38,472.38

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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.