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Finding the Fourth Proportional to 101,853, 140,570.10 and 57,141

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Solution

The fourth proportional to 101,853, 140,570.10 and 57,141 is: 78,861.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,853 : 140,570.10 = 57,141 : x
  2. Step 2: Convert to fraction form
    101,853/140,570.10 = 57,141/x
  3. Step 3: Cross multiply
    101,853x = 140,570.10 × 57,141
  4. Step 4: Simplify right side
    101,853x = 8,032,316,084.10
  5. Step 5: Solve for x
    x = 8,032,316,084.10/101,853
  6. Step 6: Final answer
    x = 78,861.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.