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Finding the Fourth Proportional to 120,051.52, 165,495.36 and 84,132.96

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Solution

The fourth proportional to 120,051.52, 165,495.36 and 84,132.96 is: 115,980.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,051.52 : 165,495.36 = 84,132.96 : x
  2. Step 2: Convert to fraction form
    120,051.52/165,495.36 = 84,132.96/x
  3. Step 3: Cross multiply
    120,051.52x = 165,495.36 × 84,132.96
  4. Step 4: Simplify right side
    120,051.52x = 13,923,614,503.07
  5. Step 5: Solve for x
    x = 13,923,614,503.07/120,051.52
  6. Step 6: Final answer
    x = 115,980.33

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1.5x scale

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.