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Finding the Fourth Proportional to 140,754.48, 211,209.48 and 57,642

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Solution

The fourth proportional to 140,754.48, 211,209.48 and 57,642 is: 86,494.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,754.48 : 211,209.48 = 57,642 : x
  2. Step 2: Convert to fraction form
    140,754.48/211,209.48 = 57,642/x
  3. Step 3: Cross multiply
    140,754.48x = 211,209.48 × 57,642
  4. Step 4: Simplify right side
    140,754.48x = 12,174,536,846.16
  5. Step 5: Solve for x
    x = 12,174,536,846.16/140,754.48
  6. Step 6: Final answer
    x = 86,494.84

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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.