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Finding the Fourth Proportional to 243,036, 335,402.64 and 142,466.40

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Solution

The fourth proportional to 243,036, 335,402.64 and 142,466.40 is: 196,611.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,036 : 335,402.64 = 142,466.40 : x
  2. Step 2: Convert to fraction form
    243,036/335,402.64 = 142,466.40/x
  3. Step 3: Cross multiply
    243,036x = 335,402.64 × 142,466.40
  4. Step 4: Simplify right side
    243,036x = 47,783,606,671.30
  5. Step 5: Solve for x
    x = 47,783,606,671.30/243,036
  6. Step 6: Final answer
    x = 196,611.23

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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.