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Finding the Fourth Proportional to 66,284.64, 99,342.72 and 31,176

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Solution

The fourth proportional to 66,284.64, 99,342.72 and 31,176 is: 46,724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,284.64 : 99,342.72 = 31,176 : x
  2. Step 2: Convert to fraction form
    66,284.64/99,342.72 = 31,176/x
  3. Step 3: Cross multiply
    66,284.64x = 99,342.72 × 31,176
  4. Step 4: Simplify right side
    66,284.64x = 3,097,108,638.72
  5. Step 5: Solve for x
    x = 3,097,108,638.72/66,284.64
  6. Step 6: Final answer
    x = 46,724.38

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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.