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Finding the Fourth Proportional to 140,421.52, 210,660.52 and 51,675.50

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Solution

The fourth proportional to 140,421.52, 210,660.52 and 51,675.50 is: 77,523.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,421.52 : 210,660.52 = 51,675.50 : x
  2. Step 2: Convert to fraction form
    140,421.52/210,660.52 = 51,675.50/x
  3. Step 3: Cross multiply
    140,421.52x = 210,660.52 × 51,675.50
  4. Step 4: Simplify right side
    140,421.52x = 10,885,987,701.26
  5. Step 5: Solve for x
    x = 10,885,987,701.26/140,421.52
  6. Step 6: Final answer
    x = 77,523.64

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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.