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Finding the Fourth Proportional to 140,642.10, 210,985.05 and 45,850.26

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Solution

The fourth proportional to 140,642.10, 210,985.05 and 45,850.26 is: 68,782.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,642.10 : 210,985.05 = 45,850.26 : x
  2. Step 2: Convert to fraction form
    140,642.10/210,985.05 = 45,850.26/x
  3. Step 3: Cross multiply
    140,642.10x = 210,985.05 × 45,850.26
  4. Step 4: Simplify right side
    140,642.10x = 9,673,719,398.61
  5. Step 5: Solve for x
    x = 9,673,719,398.61/140,642.10
  6. Step 6: Final answer
    x = 68,782.53

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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.