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Finding the Fourth Proportional to 211,395.96, 316,671.46 and 127,109.98

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Solution

The fourth proportional to 211,395.96, 316,671.46 and 127,109.98 is: 190,410.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,395.96 : 316,671.46 = 127,109.98 : x
  2. Step 2: Convert to fraction form
    211,395.96/316,671.46 = 127,109.98/x
  3. Step 3: Cross multiply
    211,395.96x = 316,671.46 × 127,109.98
  4. Step 4: Simplify right side
    211,395.96x = 40,252,102,947.17
  5. Step 5: Solve for x
    x = 40,252,102,947.17/211,395.96
  6. Step 6: Final answer
    x = 190,410.94

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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.