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Finding the Fourth Proportional to 242,992.64, 335,322.24 and 142,457.60

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Solution

The fourth proportional to 242,992.64, 335,322.24 and 142,457.60 is: 196,587.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,992.64 : 335,322.24 = 142,457.60 : x
  2. Step 2: Convert to fraction form
    242,992.64/335,322.24 = 142,457.60/x
  3. Step 3: Cross multiply
    242,992.64x = 335,322.24 × 142,457.60
  4. Step 4: Simplify right side
    242,992.64x = 47,769,201,537.02
  5. Step 5: Solve for x
    x = 47,769,201,537.02/242,992.64
  6. Step 6: Final answer
    x = 196,587.03

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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.