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Finding the Fourth Proportional to 133,064.64, 183,667.52 and 78,667.20

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Solution

The fourth proportional to 133,064.64, 183,667.52 and 78,667.20 is: 108,583.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,064.64 : 183,667.52 = 78,667.20 : x
  2. Step 2: Convert to fraction form
    133,064.64/183,667.52 = 78,667.20/x
  3. Step 3: Cross multiply
    133,064.64x = 183,667.52 × 78,667.20
  4. Step 4: Simplify right side
    133,064.64x = 14,448,609,529.34
  5. Step 5: Solve for x
    x = 14,448,609,529.34/133,064.64
  6. Step 6: Final answer
    x = 108,583.39

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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.