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Finding the Fourth Proportional to 66,435.64, 91,629.32 and 42,564.54

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Solution

The fourth proportional to 66,435.64, 91,629.32 and 42,564.54 is: 58,705.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,435.64 : 91,629.32 = 42,564.54 : x
  2. Step 2: Convert to fraction form
    66,435.64/91,629.32 = 42,564.54/x
  3. Step 3: Cross multiply
    66,435.64x = 91,629.32 × 42,564.54
  4. Step 4: Simplify right side
    66,435.64x = 3,900,159,856.31
  5. Step 5: Solve for x
    x = 3,900,159,856.31/66,435.64
  6. Step 6: Final answer
    x = 58,705.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.