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Finding the Fourth Proportional to 242,956.50, 335,309.22 and 142,354.50

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Solution

The fourth proportional to 242,956.50, 335,309.22 and 142,354.50 is: 196,466.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,956.50 : 335,309.22 = 142,354.50 : x
  2. Step 2: Convert to fraction form
    242,956.50/335,309.22 = 142,354.50/x
  3. Step 3: Cross multiply
    242,956.50x = 335,309.22 × 142,354.50
  4. Step 4: Simplify right side
    242,956.50x = 47,732,776,358.49
  5. Step 5: Solve for x
    x = 47,732,776,358.49/242,956.50
  6. Step 6: Final answer
    x = 196,466.35

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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.