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Finding the Fourth Proportional to 173,129.84, 259,728.42 and 66,506

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Solution

The fourth proportional to 173,129.84, 259,728.42 and 66,506 is: 99,771.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,129.84 : 259,728.42 = 66,506 : x
  2. Step 2: Convert to fraction form
    173,129.84/259,728.42 = 66,506/x
  3. Step 3: Cross multiply
    173,129.84x = 259,728.42 × 66,506
  4. Step 4: Simplify right side
    173,129.84x = 17,273,498,300.52
  5. Step 5: Solve for x
    x = 17,273,498,300.52/173,129.84
  6. Step 6: Final answer
    x = 99,771.93

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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.