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Finding the Fourth Proportional to 66,464.32, 99,696.16 and 63,142.08

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Solution

The fourth proportional to 66,464.32, 99,696.16 and 63,142.08 is: 94,712.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,464.32 : 99,696.16 = 63,142.08 : x
  2. Step 2: Convert to fraction form
    66,464.32/99,696.16 = 63,142.08/x
  3. Step 3: Cross multiply
    66,464.32x = 99,696.16 × 63,142.08
  4. Step 4: Simplify right side
    66,464.32x = 6,295,022,910.41
  5. Step 5: Solve for x
    x = 6,295,022,910.41/66,464.32
  6. Step 6: Final answer
    x = 94,712.82

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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.