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Finding the Fourth Proportional to 66,322.64, 99,518.52 and 29,378

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Solution

The fourth proportional to 66,322.64, 99,518.52 and 29,378 is: 44,082.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,322.64 : 99,518.52 = 29,378 : x
  2. Step 2: Convert to fraction form
    66,322.64/99,518.52 = 29,378/x
  3. Step 3: Cross multiply
    66,322.64x = 99,518.52 × 29,378
  4. Step 4: Simplify right side
    66,322.64x = 2,923,655,080.56
  5. Step 5: Solve for x
    x = 2,923,655,080.56/66,322.64
  6. Step 6: Final answer
    x = 44,082.31

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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.