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Finding the Fourth Proportional to 136,814.40, 205,201.08 and 43,308

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Solution

The fourth proportional to 136,814.40, 205,201.08 and 43,308 is: 64,955.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,814.40 : 205,201.08 = 43,308 : x
  2. Step 2: Convert to fraction form
    136,814.40/205,201.08 = 43,308/x
  3. Step 3: Cross multiply
    136,814.40x = 205,201.08 × 43,308
  4. Step 4: Simplify right side
    136,814.40x = 8,886,848,372.64
  5. Step 5: Solve for x
    x = 8,886,848,372.64/136,814.40
  6. Step 6: Final answer
    x = 64,955.50

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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.