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Finding the Fourth Proportional to 140,556.61, 210,863.14 and 51,810.57

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Solution

The fourth proportional to 140,556.61, 210,863.14 and 51,810.57 is: 77,726.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,556.61 : 210,863.14 = 51,810.57 : x
  2. Step 2: Convert to fraction form
    140,556.61/210,863.14 = 51,810.57/x
  3. Step 3: Cross multiply
    140,556.61x = 210,863.14 × 51,810.57
  4. Step 4: Simplify right side
    140,556.61x = 10,924,939,216.34
  5. Step 5: Solve for x
    x = 10,924,939,216.34/140,556.61
  6. Step 6: Final answer
    x = 77,726.26

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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.