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Finding the Fourth Proportional to 213,978.64, 295,286.91 and 118,483.28

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Solution

The fourth proportional to 213,978.64, 295,286.91 and 118,483.28 is: 163,504.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,978.64 : 295,286.91 = 118,483.28 : x
  2. Step 2: Convert to fraction form
    213,978.64/295,286.91 = 118,483.28/x
  3. Step 3: Cross multiply
    213,978.64x = 295,286.91 × 118,483.28
  4. Step 4: Simplify right side
    213,978.64x = 34,986,561,637.86
  5. Step 5: Solve for x
    x = 34,986,561,637.86/213,978.64
  6. Step 6: Final answer
    x = 163,504.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.