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Finding the Fourth Proportional to 136,969.45, 205,473.65 and 42,207.35

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Solution

The fourth proportional to 136,969.45, 205,473.65 and 42,207.35 is: 63,317.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,969.45 : 205,473.65 = 42,207.35 : x
  2. Step 2: Convert to fraction form
    136,969.45/205,473.65 = 42,207.35/x
  3. Step 3: Cross multiply
    136,969.45x = 205,473.65 × 42,207.35
  4. Step 4: Simplify right side
    136,969.45x = 8,672,497,022.92
  5. Step 5: Solve for x
    x = 8,672,497,022.92/136,969.45
  6. Step 6: Final answer
    x = 63,317.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.