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Finding the Fourth Proportional to 211,978.40, 317,970.80 and 54,203.36

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Solution

The fourth proportional to 211,978.40, 317,970.80 and 54,203.36 is: 81,305.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,978.40 : 317,970.80 = 54,203.36 : x
  2. Step 2: Convert to fraction form
    211,978.40/317,970.80 = 54,203.36/x
  3. Step 3: Cross multiply
    211,978.40x = 317,970.80 × 54,203.36
  4. Step 4: Simplify right side
    211,978.40x = 17,235,085,741.89
  5. Step 5: Solve for x
    x = 17,235,085,741.89/211,978.40
  6. Step 6: Final answer
    x = 81,305.86

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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.