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Finding the Fourth Proportional to 57,395, 86,095.74 and 20,459

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Solution

The fourth proportional to 57,395, 86,095.74 and 20,459 is: 30,689.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,395 : 86,095.74 = 20,459 : x
  2. Step 2: Convert to fraction form
    57,395/86,095.74 = 20,459/x
  3. Step 3: Cross multiply
    57,395x = 86,095.74 × 20,459
  4. Step 4: Simplify right side
    57,395x = 1,761,432,744.66
  5. Step 5: Solve for x
    x = 1,761,432,744.66/57,395
  6. Step 6: Final answer
    x = 30,689.65

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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.