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Finding the Fourth Proportional to 120,094.71, 165,739.30 and 66,378.58

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Solution

The fourth proportional to 120,094.71, 165,739.30 and 66,378.58 is: 91,607.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,094.71 : 165,739.30 = 66,378.58 : x
  2. Step 2: Convert to fraction form
    120,094.71/165,739.30 = 66,378.58/x
  3. Step 3: Cross multiply
    120,094.71x = 165,739.30 × 66,378.58
  4. Step 4: Simplify right side
    120,094.71x = 11,001,538,223.60
  5. Step 5: Solve for x
    x = 11,001,538,223.60/120,094.71
  6. Step 6: Final answer
    x = 91,607.19

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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.