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Finding the Fourth Proportional to 120,130.78, 165,773.70 and 66,412.60

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Solution

The fourth proportional to 120,130.78, 165,773.70 and 66,412.60 is: 91,645.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,130.78 : 165,773.70 = 66,412.60 : x
  2. Step 2: Convert to fraction form
    120,130.78/165,773.70 = 66,412.60/x
  3. Step 3: Cross multiply
    120,130.78x = 165,773.70 × 66,412.60
  4. Step 4: Simplify right side
    120,130.78x = 11,009,462,428.62
  5. Step 5: Solve for x
    x = 11,009,462,428.62/120,130.78
  6. Step 6: Final answer
    x = 91,645.64

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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.