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Finding the Fourth Proportional to 160,650.70, 221,699.28 and 89,031.90

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Solution

The fourth proportional to 160,650.70, 221,699.28 and 89,031.90 is: 122,864.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,650.70 : 221,699.28 = 89,031.90 : x
  2. Step 2: Convert to fraction form
    160,650.70/221,699.28 = 89,031.90/x
  3. Step 3: Cross multiply
    160,650.70x = 221,699.28 × 89,031.90
  4. Step 4: Simplify right side
    160,650.70x = 19,738,308,127.03
  5. Step 5: Solve for x
    x = 19,738,308,127.03/160,650.70
  6. Step 6: Final answer
    x = 122,864.75

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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.