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Finding the Fourth Proportional to 160,638.64, 221,682.64 and 89,019.86

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Solution

The fourth proportional to 160,638.64, 221,682.64 and 89,019.86 is: 122,848.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,638.64 : 221,682.64 = 89,019.86 : x
  2. Step 2: Convert to fraction form
    160,638.64/221,682.64 = 89,019.86/x
  3. Step 3: Cross multiply
    160,638.64x = 221,682.64 × 89,019.86
  4. Step 4: Simplify right side
    160,638.64x = 19,734,157,577.23
  5. Step 5: Solve for x
    x = 19,734,157,577.23/160,638.64
  6. Step 6: Final answer
    x = 122,848.14

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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.