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Finding the Fourth Proportional to 160,636, 221,682.54 and 89,009.32

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Solution

The fourth proportional to 160,636, 221,682.54 and 89,009.32 is: 122,835.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,636 : 221,682.54 = 89,009.32 : x
  2. Step 2: Convert to fraction form
    160,636/221,682.54 = 89,009.32/x
  3. Step 3: Cross multiply
    160,636x = 221,682.54 × 89,009.32
  4. Step 4: Simplify right side
    160,636x = 19,731,812,141.27
  5. Step 5: Solve for x
    x = 19,731,812,141.27/160,636
  6. Step 6: Final answer
    x = 122,835.55

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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.