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Finding the Fourth Proportional to 160,819.63, 221,957.65 and 89,222.72

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Solution

The fourth proportional to 160,819.63, 221,957.65 and 89,222.72 is: 123,142.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,819.63 : 221,957.65 = 89,222.72 : x
  2. Step 2: Convert to fraction form
    160,819.63/221,957.65 = 89,222.72/x
  3. Step 3: Cross multiply
    160,819.63x = 221,957.65 × 89,222.72
  4. Step 4: Simplify right side
    160,819.63x = 19,803,664,259.55
  5. Step 5: Solve for x
    x = 19,803,664,259.55/160,819.63
  6. Step 6: Final answer
    x = 123,142.09

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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.