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Finding the Fourth Proportional to 119,855.60, 165,402 and 66,142.64

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Solution

The fourth proportional to 119,855.60, 165,402 and 66,142.64 is: 91,277.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,855.60 : 165,402 = 66,142.64 : x
  2. Step 2: Convert to fraction form
    119,855.60/165,402 = 66,142.64/x
  3. Step 3: Cross multiply
    119,855.60x = 165,402 × 66,142.64
  4. Step 4: Simplify right side
    119,855.60x = 10,940,124,941.28
  5. Step 5: Solve for x
    x = 10,940,124,941.28/119,855.60
  6. Step 6: Final answer
    x = 91,277.55

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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.