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Finding the Fourth Proportional to 57,018.17, 85,530.77 and 21,957.86

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Solution

The fourth proportional to 57,018.17, 85,530.77 and 21,957.86 is: 32,938.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,018.17 : 85,530.77 = 21,957.86 : x
  2. Step 2: Convert to fraction form
    57,018.17/85,530.77 = 21,957.86/x
  3. Step 3: Cross multiply
    57,018.17x = 85,530.77 × 21,957.86
  4. Step 4: Simplify right side
    57,018.17x = 1,878,072,135.91
  5. Step 5: Solve for x
    x = 1,878,072,135.91/57,018.17
  6. Step 6: Final answer
    x = 32,938.14

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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.