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Finding the Fourth Proportional to 140,590.56, 210,963.84 and 57,542.88

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Solution

The fourth proportional to 140,590.56, 210,963.84 and 57,542.88 is: 86,346.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,590.56 : 210,963.84 = 57,542.88 : x
  2. Step 2: Convert to fraction form
    140,590.56/210,963.84 = 57,542.88/x
  3. Step 3: Cross multiply
    140,590.56x = 210,963.84 × 57,542.88
  4. Step 4: Simplify right side
    140,590.56x = 12,139,466,929.46
  5. Step 5: Solve for x
    x = 12,139,466,929.46/140,590.56
  6. Step 6: Final answer
    x = 86,346.24

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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.