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Finding the Fourth Proportional to 243,158.56, 335,614.80 and 142,588.96

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Solution

The fourth proportional to 243,158.56, 335,614.80 and 142,588.96 is: 196,805.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,158.56 : 335,614.80 = 142,588.96 : x
  2. Step 2: Convert to fraction form
    243,158.56/335,614.80 = 142,588.96/x
  3. Step 3: Cross multiply
    243,158.56x = 335,614.80 × 142,588.96
  4. Step 4: Simplify right side
    243,158.56x = 47,854,965,292.61
  5. Step 5: Solve for x
    x = 47,854,965,292.61/243,158.56
  6. Step 6: Final answer
    x = 196,805.60

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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.