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Finding the Fourth Proportional to 210,843.40, 316,265.10 and 139,984.60

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Solution

The fourth proportional to 210,843.40, 316,265.10 and 139,984.60 is: 209,976.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,843.40 : 316,265.10 = 139,984.60 : x
  2. Step 2: Convert to fraction form
    210,843.40/316,265.10 = 139,984.60/x
  3. Step 3: Cross multiply
    210,843.40x = 316,265.10 × 139,984.60
  4. Step 4: Simplify right side
    210,843.40x = 44,272,243,517.46
  5. Step 5: Solve for x
    x = 44,272,243,517.46/210,843.40
  6. Step 6: Final answer
    x = 209,976.90

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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.