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Finding the Fourth Proportional to 145,063.36, 217,662 and 66,201.76

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Solution

The fourth proportional to 145,063.36, 217,662 and 66,201.76 is: 99,333.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,063.36 : 217,662 = 66,201.76 : x
  2. Step 2: Convert to fraction form
    145,063.36/217,662 = 66,201.76/x
  3. Step 3: Cross multiply
    145,063.36x = 217,662 × 66,201.76
  4. Step 4: Simplify right side
    145,063.36x = 14,409,607,485.12
  5. Step 5: Solve for x
    x = 14,409,607,485.12/145,063.36
  6. Step 6: Final answer
    x = 99,333.20

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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.