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Finding the Fourth Proportional to 210,275.42, 315,291.93 and 143,796.09

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Solution

The fourth proportional to 210,275.42, 315,291.93 and 143,796.09 is: 215,611.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,275.42 : 315,291.93 = 143,796.09 : x
  2. Step 2: Convert to fraction form
    210,275.42/315,291.93 = 143,796.09/x
  3. Step 3: Cross multiply
    210,275.42x = 315,291.93 × 143,796.09
  4. Step 4: Simplify right side
    210,275.42x = 45,337,746,742.55
  5. Step 5: Solve for x
    x = 45,337,746,742.55/210,275.42
  6. Step 6: Final answer
    x = 215,611.26

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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.