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Finding the Fourth Proportional to 160,420.88, 221,371.30 and 88,796.64

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Solution

The fourth proportional to 160,420.88, 221,371.30 and 88,796.64 is: 122,534.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,420.88 : 221,371.30 = 88,796.64 : x
  2. Step 2: Convert to fraction form
    160,420.88/221,371.30 = 88,796.64/x
  3. Step 3: Cross multiply
    160,420.88x = 221,371.30 × 88,796.64
  4. Step 4: Simplify right side
    160,420.88x = 19,657,027,632.43
  5. Step 5: Solve for x
    x = 19,657,027,632.43/160,420.88
  6. Step 6: Final answer
    x = 122,534.10

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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.