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Finding the Fourth Proportional to 172,583, 258,500.58 and 83,650.46

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Solution

The fourth proportional to 172,583, 258,500.58 and 83,650.46 is: 125,294.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,583 : 258,500.58 = 83,650.46 : x
  2. Step 2: Convert to fraction form
    172,583/258,500.58 = 83,650.46/x
  3. Step 3: Cross multiply
    172,583x = 258,500.58 × 83,650.46
  4. Step 4: Simplify right side
    172,583x = 21,623,692,427.27
  5. Step 5: Solve for x
    x = 21,623,692,427.27/172,583
  6. Step 6: Final answer
    x = 125,294.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.