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Finding the Fourth Proportional to 140,208.40, 210,235.80 and 57,008.40

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Solution

The fourth proportional to 140,208.40, 210,235.80 and 57,008.40 is: 85,481.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,208.40 : 210,235.80 = 57,008.40 : x
  2. Step 2: Convert to fraction form
    140,208.40/210,235.80 = 57,008.40/x
  3. Step 3: Cross multiply
    140,208.40x = 210,235.80 × 57,008.40
  4. Step 4: Simplify right side
    140,208.40x = 11,985,206,580.72
  5. Step 5: Solve for x
    x = 11,985,206,580.72/140,208.40
  6. Step 6: Final answer
    x = 85,481.37

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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.